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%I #16 Aug 26 2018 11:57:11
%S 7,7,3,9,0,6,9,9,5,9,8,3,9,6,6,8,5,7,0,7,9,5,1,7,5,8,0,9,0,9,5,6,0,8,
%T 1,0,3,3,7,6,5,7,4,5,4,6,2,1,7,3,7,4,7,2,5,4,6,9,3,4,0,0,0,4,4,1,7,1,
%U 4,5,0,3,2,9,1,8,3,4,6,8,5,1,9,2,9,1,4,1,2,4,9
%N The 10-adic integer a_7 = ...89599609377 satisfying a_7^5 + 1 = a_8, a_8^5 + 1 = a_9, ... , a_5^5 + 1 = a_6 and a_6^5 + 1 = a_7.
%H Seiichi Manyama, <a href="/A318334/b318334.txt">Table of n, a(n) for n = 0..5000</a>
%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),
%e 85011784225^5 + 1 == 17275390626 (mod 10^11),
%e 17275390626^5 + 1 == 89599609377 (mod 10^11).
%Y Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), this sequence (a_7), A318335 (a_8), A318336 (a_9).
%K nonn,base
%O 0,1
%A _Seiichi Manyama_, Aug 24 2018
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