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A318410 The 10-adic integer a_9 = ...5099734869332853249 satisfying a_9^9 + 1 = a_0, a_0^9 + 1 = a_1, ... , a_7^9 + 1 = a_8 and a_8^9 + 1 = a_9. 10

%I

%S 9,4,2,3,5,8,2,3,3,9,6,8,4,3,7,9,9,0,5,2,9,4,0,9,5,9,2,9,2,4,6,7,7,3,

%T 0,5,9,3,8,1,2,2,5,0,5,5,2,7,8,0,3,1,1,5,0,1,4,0,6,4,7,2,4,1,8,3,3,6,

%U 4,0,0,8,9,2,1,4,3,5,0,1,2,5,4,1,3,8,5,1,7,1,2

%N The 10-adic integer a_9 = ...5099734869332853249 satisfying a_9^9 + 1 = a_0, a_0^9 + 1 = a_1, ... , a_7^9 + 1 = a_8 and a_8^9 + 1 = a_9.

%H Seiichi Manyama, <a href="/A318410/b318410.txt">Table of n, a(n) for n = 0..5000</a>

%e 5099734869332853249^9 + 1 == 7644773889965429250 (mod 10^19),

%e 7644773889965429250^9 + 1 == 7705078125000000001 (mod 10^19),

%e 7705078125000000001^9 + 1 == 9345703125000000002 (mod 10^19),

%e 9345703125000000002^9 + 1 == 2500000000000000513 (mod 10^19),

%e 2500000000000000513^9 + 1 == 8996619787545743874 (mod 10^19),

%e 8996619787545743874^9 + 1 == 3747888971752538625 (mod 10^19),

%e 3747888971752538625^9 + 1 == 1601963043212890626 (mod 10^19),

%e 1601963043212890626^9 + 1 == 5448818206787109377 (mod 10^19),

%e 5448818206787109377^9 + 1 == 6396884918212891138 (mod 10^19),

%e 6396884918212891138^9 + 1 == 5099734869332853249 (mod 10^19).

%Y Cf. A318379 (a_0), A318380 (a_1), A318381 (a_2), A318382 (a_3), A318383 (a_4), A318384(a_5), A318385 (a_6), A318386 (a_7), A318409 (a_8), this sequence (a_9).

%K nonn,base

%O 0,1

%A _Seiichi Manyama_, Aug 26 2018

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Last modified June 19 15:03 EDT 2021. Contains 345141 sequences. (Running on oeis4.)