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%I A318330 #21 Aug 26 2018 11:57:26
%S A318330 3,3,0,0,0,0,0,0,0,5,2,1,7,0,4,8,5,3,9,5,1,5,6,5,3,0,8,5,6,2,9,9,0,5,
%T A318330 0,0,1,7,4,0,9,5,4,7,9,6,1,0,8,4,5,9,1,1,8,1,2,6,3,3,3,5,6,9,0,5,6,5,
%U A318330 1,0,8,6,3,3,4,5,4,0,5,3,7,7,7,3,6,7,2,7,1,7,4,5
%N A318330 The 10-adic integer a_3 = ...25000000033 satisfying a_3^5 + 1 = a_4, a_4^5 + 1 = a_5, ... , a_1^5+ 1 = a_2 and a_2^5 + 1 = a_3.
%H A318330 Seiichi Manyama, <a href="/A318330/b318330.txt">Table of n, a(n) for n = 0..5000</a>
%e A318330 25000000033^5 + 1 == 25039135394 (mod 10^11),
%e A318330 25039135394^5 + 1 == 85011784225 (mod 10^11),
%e A318330 85011784225^5 + 1 == 17275390626 (mod 10^11),
%e A318330 17275390626^5 + 1 == 89599609377 (mod 10^11),
%e A318330 89599609377^5 + 1 == 74462890658 (mod 10^11),
%e A318330 74462890658^5 + 1 == 75576244769 (mod 10^11),
%e A318330 75576244769^5 + 1 == 34474674850 (mod 10^11),
%e A318330 34474674850^5 + 1 == 67812500001 (mod 10^11),
%e A318330 67812500001^5 + 1 == 39062500002 (mod 10^11),
%e A318330 39062500002^5 + 1 == 25000000033 (mod 10^11).
%Y A318330 Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), this sequence (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
%K A318330 nonn,base
%O A318330 0,1
%A A318330 _Seiichi Manyama_, Aug 24 2018

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