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%I #15 Aug 26 2018 11:57:03
%S 9,6,7,4,4,2,6,7,5,5,7,1,1,3,5,8,3,6,2,2,2,5,7,8,4,0,6,7,3,4,7,9,0,5,
%T 0,9,4,0,8,9,8,3,7,9,3,4,1,3,4,0,8,8,4,4,5,5,6,4,0,0,7,6,5,9,6,5,3,4,
%U 6,6,6,6,4,0,6,2,6,8,9,2,4,1,7,3,6,4,2,3,5,6,8
%N The 10-adic integer a_9 = ...75576244769 satisfying a_9^5 + 1 = a_0, a_0^5 + 1 = a_1, ... , a_7^5 + 1 = a_8 and a_8^5 + 1 = a_9.
%H Seiichi Manyama, <a href="/A318336/b318336.txt">Table of n, a(n) for n = 0..5000</a>
%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),
%e 89599609377^5 + 1 == 74462890658 (mod 10^11),
%e 74462890658^5 + 1 == 75576244769 (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), A318334 (a_7), A318335 (a_8), this sequence (a_9).
%K nonn,base
%O 0,1
%A _Seiichi Manyama_, Aug 24 2018
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