A318328 - OEIS

%I #26 Aug 26 2018 09:58:33

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

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

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

%N The 10-adic integer a_1 = ...67812500001 satisfying a_1^5 + 1 = a_2, a_2^5 + 1 = a_3, ... , a_9^5 + 1 = a_0 and a_0^5 + 1 = a_1.

%H Seiichi Manyama, <a href="/A318328/b318328.txt">Table of n, a(n) for n = 0..5000</a>

%e 67812500001^5 + 1 == 39062500002 (mod 10^11),

%e 39062500002^5 + 1 == 25000000033 (mod 10^11),

%e 25000000033^5 + 1 == 25039135394 (mod 10^11),

%e 25039135394^5 + 1 == 85011784225 (mod 10^11),

%e 85011784225^5 + 1 == 17275390626 (mod 10^11),

%e 17275390626^5 + 1 == 89599609377 (mod 10^11),

%e 89599609377^5 + 1 == 74462890658 (mod 10^11),

%e 74462890658^5 + 1 == 75576244769 (mod 10^11),

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

%e 34474674850^5 + 1 == 67812500001 (mod 10^11).

%Y Cf. A318327 (a_0), this sequence (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).

%K nonn,base

%O 0,6

%A _Seiichi Manyama_, Aug 24 2018