A318336 The 10-adic integer a_9 = ...75576244769 satisfying a_9^5 + 1 = a_0, a_0^5 + 1 = a_1, ... , a_7^5 + 1 = a_8 and a_8^5 + 1 = a_9.

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

Offset

0,1

Links

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

Example

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),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11).

Crossrefs

Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), this sequence (a_9).

Sequence in context: A242713 A155129 A254980 * A340577 A229923 A203080

Adjacent sequences: A318333 A318334 A318335 * A318337 A318338 A318339

Keyword

nonn,base

Author

Seiichi Manyama, Aug 24 2018

Status

approved