Liste des fractions de n/197 en base 4.

Il existe 2 périodes de 98 chiffres pour n/197 en base 4.

Pour toutes les fractions de n/197 en base 4, la période de 1/197 revient alors 98 fois (en orange)

1/197=0,00011030222320201302112233123213103310103133200303332230311101313203122110021012023002323020013303...

2/197=0,00022121111301003210231132313032213220212333001213331121222203233012310220102030112011312100033212...

3/197=0,00033212000221211113010032102311323130322132202123330012133311212222032330123102201020301120113121...

4/197=0,00110302223202013021122331232131033101031332003033322303111013132031221100210120230023230200133030...

5/197=0,00121333112122220323301231022010203011201131210003321200022121111301003210231132313032213220212333...

6/197=0,00133030001103022232020130211223312321310331010313320030333223031110131320312211002101202300232302...

7/197=0,00210120230023230200133030001103022232020130211223312321310331010313320030333223031110131320312211...

8/197=0,00221211113010032102311323130322132202123330012133311212222032330123102201020301120113121000332120...

9/197=0,00232302001330300011030222320201302112233123213103310103133200303332230311101313203122110021012023...

10/197=0,00303332230311101313203122110021012023002323020013303000110302223202013021122331232131033101031332...

11/197=0,00321023113231303221322021233300121333112122220323301231022010203011201131210003321200022121111301...

12/197=0,00332120002212111130100321023113231303221322021233300121333112122220323301231022010203011201131210...

13/197=0,01003210231132313032213220212333001213331121222203233012310220102030112011312100033212000221211113...

14/197=0,01020301120113121000332120002212111130100321023113231303221322021233300121333112122220323301231022...

15/197=0,01031332003033322303111013132031221100210120230023230200133030001103022232020130211223312321310331...

16/197=0,01103022232020130211223312321310331010313320030333223031110131320312211002101202300232302001330300...

17/197=0,01120113121000332120002212111130100321023113231303221322021233300121333112122220323301231022010203...

18/197=0,01131210003321200022121111301003210231132313032213220212333001213331121222203233012310220102030112...

19/197=0,01202300232302001330300011030222320201302112233123213103310103133200303332230311101313203122110021...

20/197=0,01213331121222203233012310220102030112011312100033212000221211113010032102311323130322132202123330...

21/197=0,01231022010203011201131210003321200022121111301003210231132313032213220212333001213331121222203233...

22/197=0,01302112233123213103310103133200303332230311101313203122110021012023002323020013303000110302223202...

23/197=0,01313203122110021012023002323020013303000110302223202013021122331232131033101031332003033322303111...

24/197=0,01330300011030222320201302112233123213103310103133200303332230311101313203122110021012023002323020...

25/197=0,02001330300011030222320201302112233123213103310103133200303332230311101313203122110021012023002323...

26/197=0,02013021122331232131033101031332003033322303111013132031221100210120230023230200133030001103022232...

27/197=0,02030112011312100033212000221211113010032102311323130322132202123330012133311212222032330123102201...

28/197=0,02101202300232302001330300011030222320201302112233123213103310103133200303332230311101313203122110...

29/197=0,02112233123213103310103133200303332230311101313203122110021012023002323020013303000110302223202013...

30/197=0,02123330012133311212222032330123102201020301120113121000332120002212111130100321023113231303221322...

31/197=0,02201020301120113121000332120002212111130100321023113231303221322021233300121333112122220323301231...

32/197=0,02212111130100321023113231303221322021233300121333112122220323301231022010203011201131210003321200...

33/197=0,02223202013021122331232131033101031332003033322303111013132031221100210120230023230200133030001103...

34/197=0,02300232302001330300011030222320201302112233123213103310103133200303332230311101313203122110021012...

35/197=0,02311323130322132202123330012133311212222032330123102201020301120113121000332120002212111130100321...

36/197=0,02323020013303000110302223202013021122331232131033101031332003033322303111013132031221100210120230...

37/197=0,03000110302223202013021122331232131033101031332003033322303111013132031221100210120230023230200133...

38/197=0,03011201131210003321200022121111301003210231132313032213220212333001213331121222203233012310220102...

39/197=0,03022232020130211223312321310331010313320030333223031110131320312211002101202300232302001330300011...

40/197=0,03033322303111013132031221100210120230023230200133030001103022232020130211223312321310331010313320...

41/197=0,03111013132031221100210120230023230200133030001103022232020130211223312321310331010313320030333223...

42/197=0,03122110021012023002323020013303000110302223202013021122331232131033101031332003033322303111013132...

43/197=0,03133200303332230311101313203122110021012023002323020013303000110302223202013021122331232131033101...

44/197=0,03210231132313032213220212333001213331121222203233012310220102030112011312100033212000221211113010...

45/197=0,03221322021233300121333112122220323301231022010203011201131210003321200022121111301003210231132313...

46/197=0,03233012310220102030112011312100033212000221211113010032102311323130322132202123330012133311212222...

47/197=0,03310103133200303332230311101313203122110021012023002323020013303000110302223202013021122331232131...

48/197=0,03321200022121111301003210231132313032213220212333001213331121222203233012310220102030112011312100...

49/197=0,03332230311101313203122110021012023002323020013303000110302223202013021122331232131033101031332003...

50/197=0,10003321200022121111301003210231132313032213220212333001213331121222203233012310220102030112011312...

51/197=0,10021012023002323020013303000110302223202013021122331232131033101031332003033322303111013132031221...

52/197=0,10032102311323130322132202123330012133311212222032330123102201020301120113121000332120002212111130...

53/197=0,10103133200303332230311101313203122110021012023002323020013303000110302223202013021122331232131033...

54/197=0,10120230023230200133030001103022232020130211223312321310331010313320030333223031110131320312211002...

55/197=0,10131320312211002101202300232302001330300011030222320201302112233123213103310103133200303332230311...

56/197=0,10203011201131210003321200022121111301003210231132313032213220212333001213331121222203233012310220...

57/197=0,10220102030112011312100033212000221211113010032102311323130322132202123330012133311212222032330123...

58/197=0,10231132313032213220212333001213331121222203233012310220102030112011312100033212000221211113010032...

59/197=0,10302223202013021122331232131033101031332003033322303111013132031221100210120230023230200133030001...

60/197=0,10313320030333223031110131320312211002101202300232302001330300011030222320201302112233123213103310...

61/197=0,10331010313320030333223031110131320312211002101202300232302001330300011030222320201302112233123213...

62/197=0,11002101202300232302001330300011030222320201302112233123213103310103133200303332230311101313203122...

63/197=0,11013132031221100210120230023230200133030001103022232020130211223312321310331010313320030333223031...

64/197=0,11030222320201302112233123213103310103133200303332230311101313203122110021012023002323020013303000...

65/197=0,11101313203122110021012023002323020013303000110302223202013021122331232131033101031332003033322303...

66/197=0,11113010032102311323130322132202123330012133311212222032330123102201020301120113121000332120002212...

67/197=0,11130100321023113231303221322021233300121333112122220323301231022010203011201131210003321200022121...

68/197=0,11201131210003321200022121111301003210231132313032213220212333001213331121222203233012310220102030...

69/197=0,11212222032330123102201020301120113121000332120002212111130100321023113231303221322021233300121333...

70/197=0,11223312321310331010313320030333223031110131320312211002101202300232302001330300011030222320201302...

71/197=0,11301003210231132313032213220212333001213331121222203233012310220102030112011312100033212000221211...

72/197=0,11312100033212000221211113010032102311323130322132202123330012133311212222032330123102201020301120...

73/197=0,11323130322132202123330012133311212222032330123102201020301120113121000332120002212111130100321023...

74/197=0,12000221211113010032102311323130322132202123330012133311212222032330123102201020301120113121000332...

75/197=0,12011312100033212000221211113010032102311323130322132202123330012133311212222032330123102201020301...

76/197=0,12023002323020013303000110302223202013021122331232131033101031332003033322303111013132031221100210...

77/197=0,12100033212000221211113010032102311323130322132202123330012133311212222032330123102201020301120113...

78/197=0,12111130100321023113231303221322021233300121333112122220323301231022010203011201131210003321200022...

79/197=0,12122220323301231022010203011201131210003321200022121111301003210231132313032213220212333001213331...

80/197=0,12133311212222032330123102201020301120113121000332120002212111130100321023113231303221322021233300...

81/197=0,12211002101202300232302001330300011030222320201302112233123213103310103133200303332230311101313203...

82/197=0,12222032330123102201020301120113121000332120002212111130100321023113231303221322021233300121333112...

83/197=0,12233123213103310103133200303332230311101313203122110021012023002323020013303000110302223202013021...

84/197=0,12310220102030112011312100033212000221211113010032102311323130322132202123330012133311212222032330...

85/197=0,12321310331010313320030333223031110131320312211002101202300232302001330300011030222320201302112233...

86/197=0,12333001213331121222203233012310220102030112011312100033212000221211113010032102311323130322132202...

87/197=0,13010032102311323130322132202123330012133311212222032330123102201020301120113121000332120002212111...

88/197=0,13021122331232131033101031332003033322303111013132031221100210120230023230200133030001103022232020...

89/197=0,13032213220212333001213331121222203233012310220102030112011312100033212000221211113010032102311323...

90/197=0,13103310103133200303332230311101313203122110021012023002323020013303000110302223202013021122331232...

91/197=0,13121000332120002212111130100321023113231303221322021233300121333112122220323301231022010203011201...

92/197=0,13132031221100210120230023230200133030001103022232020130211223312321310331010313320030333223031110...

93/197=0,13203122110021012023002323020013303000110302223202013021122331232131033101031332003033322303111013...

94/197=0,13220212333001213331121222203233012310220102030112011312100033212000221211113010032102311323130322...

95/197=0,13231303221322021233300121333112122220323301231022010203011201131210003321200022121111301003210231...

96/197=0,13303000110302223202013021122331232131033101031332003033322303111013132031221100210120230023230200...

97/197=0,13320030333223031110131320312211002101202300232302001330300011030222320201302112233123213103310103...

98/197=0,13331121222203233012310220102030112011312100033212000221211113010032102311323130322132202123330012...

99/197=0,20002212111130100321023113231303221322021233300121333112122220323301231022010203011201131210003321...

100/197=0,20013303000110302223202013021122331232131033101031332003033322303111013132031221100210120230023230...

101/197=0,20030333223031110131320312211002101202300232302001330300011030222320201302112233123213103310103133...

102/197=0,20102030112011312100033212000221211113010032102311323130322132202123330012133311212222032330123102...

103/197=0,20113121000332120002212111130100321023113231303221322021233300121333112122220323301231022010203011...

104/197=0,20130211223312321310331010313320030333223031110131320312211002101202300232302001330300011030222320...

105/197=0,20201302112233123213103310103133200303332230311101313203122110021012023002323020013303000110302223...

106/197=0,20212333001213331121222203233012310220102030112011312100033212000221211113010032102311323130322132...

107/197=0,20230023230200133030001103022232020130211223312321310331010313320030333223031110131320312211002101...

108/197=0,20301120113121000332120002212111130100321023113231303221322021233300121333112122220323301231022010...

109/197=0,20312211002101202300232302001330300011030222320201302112233123213103310103133200303332230311101313...

110/197=0,20323301231022010203011201131210003321200022121111301003210231132313032213220212333001213331121222...

111/197=0,21000332120002212111130100321023113231303221322021233300121333112122220323301231022010203011201131...

112/197=0,21012023002323020013303000110302223202013021122331232131033101031332003033322303111013132031221100...

113/197=0,21023113231303221322021233300121333112122220323301231022010203011201131210003321200022121111301003...

114/197=0,21100210120230023230200133030001103022232020130211223312321310331010313320030333223031110131320312...

115/197=0,21111301003210231132313032213220212333001213331121222203233012310220102030112011312100033212000221...

116/197=0,21122331232131033101031332003033322303111013132031221100210120230023230200133030001103022232020130...

117/197=0,21200022121111301003210231132313032213220212333001213331121222203233012310220102030112011312100033...

118/197=0,21211113010032102311323130322132202123330012133311212222032330123102201020301120113121000332120002...

119/197=0,21222203233012310220102030112011312100033212000221211113010032102311323130322132202123330012133311...

120/197=0,21233300121333112122220323301231022010203011201131210003321200022121111301003210231132313032213220...

121/197=0,21310331010313320030333223031110131320312211002101202300232302001330300011030222320201302112233123...

122/197=0,21322021233300121333112122220323301231022010203011201131210003321200022121111301003210231132313032...

123/197=0,21333112122220323301231022010203011201131210003321200022121111301003210231132313032213220212333001...

124/197=0,22010203011201131210003321200022121111301003210231132313032213220212333001213331121222203233012310...

125/197=0,22021233300121333112122220323301231022010203011201131210003321200022121111301003210231132313032213...

126/197=0,22032330123102201020301120113121000332120002212111130100321023113231303221322021233300121333112122...

127/197=0,22110021012023002323020013303000110302223202013021122331232131033101031332003033322303111013132031...

128/197=0,22121111301003210231132313032213220212333001213331121222203233012310220102030112011312100033212000...

129/197=0,22132202123330012133311212222032330123102201020301120113121000332120002212111130100321023113231303...

130/197=0,22203233012310220102030112011312100033212000221211113010032102311323130322132202123330012133311212...

131/197=0,22220323301231022010203011201131210003321200022121111301003210231132313032213220212333001213331121...

132/197=0,22232020130211223312321310331010313320030333223031110131320312211002101202300232302001330300011030...

133/197=0,22303111013132031221100210120230023230200133030001103022232020130211223312321310331010313320030333...

134/197=0,22320201302112233123213103310103133200303332230311101313203122110021012023002323020013303000110302...

135/197=0,22331232131033101031332003033322303111013132031221100210120230023230200133030001103022232020130211...

136/197=0,23002323020013303000110302223202013021122331232131033101031332003033322303111013132031221100210120...

137/197=0,23020013303000110302223202013021122331232131033101031332003033322303111013132031221100210120230023...

138/197=0,23031110131320312211002101202300232302001330300011030222320201302112233123213103310103133200303332...

139/197=0,23102201020301120113121000332120002212111130100321023113231303221322021233300121333112122220323301...

140/197=0,23113231303221322021233300121333112122220323301231022010203011201131210003321200022121111301003210...

141/197=0,23130322132202123330012133311212222032330123102201020301120113121000332120002212111130100321023113...

142/197=0,23202013021122331232131033101031332003033322303111013132031221100210120230023230200133030001103022...

143/197=0,23213103310103133200303332230311101313203122110021012023002323020013303000110302223202013021122331...

144/197=0,23230200133030001103022232020130211223312321310331010313320030333223031110131320312211002101202300...

145/197=0,23301231022010203011201131210003321200022121111301003210231132313032213220212333001213331121222203...

146/197=0,23312321310331010313320030333223031110131320312211002101202300232302001330300011030222320201302112...

147/197=0,23330012133311212222032330123102201020301120113121000332120002212111130100321023113231303221322021...

148/197=0,30001103022232020130211223312321310331010313320030333223031110131320312211002101202300232302001330...

149/197=0,30012133311212222032330123102201020301120113121000332120002212111130100321023113231303221322021233...

150/197=0,30023230200133030001103022232020130211223312321310331010313320030333223031110131320312211002101202...

151/197=0,30100321023113231303221322021233300121333112122220323301231022010203011201131210003321200022121111...

152/197=0,30112011312100033212000221211113010032102311323130322132202123330012133311212222032330123102201020...

153/197=0,30123102201020301120113121000332120002212111130100321023113231303221322021233300121333112122220323...

154/197=0,30200133030001103022232020130211223312321310331010313320030333223031110131320312211002101202300232...

155/197=0,30211223312321310331010313320030333223031110131320312211002101202300232302001330300011030222320201...

156/197=0,30222320201302112233123213103310103133200303332230311101313203122110021012023002323020013303000110...

157/197=0,30300011030222320201302112233123213103310103133200303332230311101313203122110021012023002323020013...

158/197=0,30311101313203122110021012023002323020013303000110302223202013021122331232131033101031332003033322...

159/197=0,30322132202123330012133311212222032330123102201020301120113121000332120002212111130100321023113231...

160/197=0,30333223031110131320312211002101202300232302001330300011030222320201302112233123213103310103133200...

161/197=0,31010313320030333223031110131320312211002101202300232302001330300011030222320201302112233123213103...

162/197=0,31022010203011201131210003321200022121111301003210231132313032213220212333001213331121222203233012...

163/197=0,31033101031332003033322303111013132031221100210120230023230200133030001103022232020130211223312321...

164/197=0,31110131320312211002101202300232302001330300011030222320201302112233123213103310103133200303332230...

165/197=0,31121222203233012310220102030112011312100033212000221211113010032102311323130322132202123330012133...

166/197=0,31132313032213220212333001213331121222203233012310220102030112011312100033212000221211113010032102...

167/197=0,31210003321200022121111301003210231132313032213220212333001213331121222203233012310220102030112011...

168/197=0,31221100210120230023230200133030001103022232020130211223312321310331010313320030333223031110131320...

169/197=0,31232131033101031332003033322303111013132031221100210120230023230200133030001103022232020130211223...

170/197=0,31303221322021233300121333112122220323301231022010203011201131210003321200022121111301003210231132...

171/197=0,31320312211002101202300232302001330300011030222320201302112233123213103310103133200303332230311101...

172/197=0,31332003033322303111013132031221100210120230023230200133030001103022232020130211223312321310331010...

173/197=0,32003033322303111013132031221100210120230023230200133030001103022232020130211223312321310331010313...

174/197=0,32020130211223312321310331010313320030333223031110131320312211002101202300232302001330300011030222...

175/197=0,32031221100210120230023230200133030001103022232020130211223312321310331010313320030333223031110131...

176/197=0,32102311323130322132202123330012133311212222032330123102201020301120113121000332120002212111130100...

177/197=0,32120002212111130100321023113231303221322021233300121333112122220323301231022010203011201131210003...

178/197=0,32131033101031332003033322303111013132031221100210120230023230200133030001103022232020130211223312...

179/197=0,32202123330012133311212222032330123102201020301120113121000332120002212111130100321023113231303221...

180/197=0,32213220212333001213331121222203233012310220102030112011312100033212000221211113010032102311323130...

181/197=0,32230311101313203122110021012023002323020013303000110302223202013021122331232131033101031332003033...

182/197=0,32302001330300011030222320201302112233123213103310103133200303332230311101313203122110021012023002...

183/197=0,32313032213220212333001213331121222203233012310220102030112011312100033212000221211113010032102311...

184/197=0,32330123102201020301120113121000332120002212111130100321023113231303221322021233300121333112122220...

185/197=0,33001213331121222203233012310220102030112011312100033212000221211113010032102311323130322132202123...

186/197=0,33012310220102030112011312100033212000221211113010032102311323130322132202123330012133311212222032...

187/197=0,33030001103022232020130211223312321310331010313320030333223031110131320312211002101202300232302001...

188/197=0,33101031332003033322303111013132031221100210120230023230200133030001103022232020130211223312321310...

189/197=0,33112122220323301231022010203011201131210003321200022121111301003210231132313032213220212333001213...

190/197=0,33123213103310103133200303332230311101313203122110021012023002323020013303000110302223202013021122...

191/197=0,33200303332230311101313203122110021012023002323020013303000110302223202013021122331232131033101031...

192/197=0,33212000221211113010032102311323130322132202123330012133311212222032330123102201020301120113121000...

193/197=0,33223031110131320312211002101202300232302001330300011030222320201302112233123213103310103133200303...

194/197=0,33300121333112122220323301231022010203011201131210003321200022121111301003210231132313032213220212...

195/197=0,33311212222032330123102201020301120113121000332120002212111130100321023113231303221322021233300121...

196/197=0,33322303111013132031221100210120230023230200133030001103022232020130211223312321310331010313320030...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (98) est égal à 196 et donc au premier -1.