A318332 - OEIS

%I #15 Aug 26 2018 11:57:18

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

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

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

%N The 10-adic integer a_5 = ...85011784225 satisfying a_5^5 + 1 = a_6, a_6^5 + 1 = a_7, ... , a_3^5 + 1 = a_4 and a_4^5 + 1 = a_5.

%H Seiichi Manyama, <a href="/A318332/b318332.txt">Table of n, a(n) for n = 0..5000</a>

%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),

%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).

%Y Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), this sequence (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).

%K nonn,base

%O 0,1

%A _Seiichi Manyama_, Aug 24 2018