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%I #22 Aug 26 2018 10:50:46
%S 2,0,0,0,0,5,2,6,0,9,3,8,3,7,5,0,0,8,5,0,4,4,5,2,0,1,1,8,7,2,2,7,9,7,
%T 5,7,5,2,2,0,6,1,1,1,7,5,3,7,0,6,3,3,5,3,4,3,8,2,7,1,2,4,7,1,1,8,4,5,
%U 3,5,0,5,1,3,2,9,1,4,5,6,6,0,1,0,9,7,9,3,6,6,0
%N The 10-adic integer a_2 = ...39062500002 satisfying a_2^5 + 1 = a_3, a_3^5 + 1 = a_4, ... , a_0^5+ 1 = a_1 and a_1^5 + 1 = a_2.
%H Seiichi Manyama, <a href="/A318329/b318329.txt">Table of n, a(n) for n = 0..5000</a>
%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),
%e 67812500001^5 + 1 == 39062500002 (mod 10^11).
%Y Cf. A318327 (a_0), A318328 (a_1), this sequence (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 0,1
%A _Seiichi Manyama_, Aug 24 2018
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