A318333 The 10-adic integer a_6 = ...17275390626 satisfying a_6^5 + 1 = a_7, a_7^5 + 1 = a_8, ... , a_4^5 + 1 = a_5 and a_5^5 + 1 = a_6.

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

Offset

0,1

Links

Seiichi Manyama, Table of n, a(n) for n = 0..5000

Example

17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11).

Crossrefs

Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), this sequence (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).

Sequence in context: A021619 A308718 A107496 * A318385 A319262 A126664

Adjacent sequences: A318330 A318331 A318332 * A318334 A318335 A318336

Keyword

nonn,base

Author

Seiichi Manyama, Aug 24 2018

Status

approved