A318327 The 10-adic integer a_0 = ...34474674850 satisfying a_0^5 + 1 = a_1, a_1^5 + 1 = a_2, ..., a_8^5 + 1 = a_9 and a_9^5 + 1 = a_0.

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

Offset

0,2

Links

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

Example

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),
75576244769^5 + 1 == 34474674850 (mod 10^11).

Crossrefs

Cf. this sequence (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), A318336 (a_9).

Sequence in context: A099878 A167901 A195424 * A021635 A021175 A011095

Adjacent sequences: A318324 A318325 A318326 * A318328 A318329 A318330

Keyword

nonn,base

Author

Seiichi Manyama, Aug 24 2018

Status

approved