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%I #13 Sep 22 2018 03:45:22
%S 7,7,3,9,0,1,7,5,3,3,5,6,5,6,7,0,9,9,9,6,7,8,6,9,2,8,2,8,0,9,1,6,2,2,
%T 4,9,9,9,4,5,8,4,6,0,7,4,5,9,6,0,1,3,0,6,9,2,3,8,4,4,7,4,5,7,1,4,7,7,
%U 6,8,1,1,1,3,7,6,4,4,1,0,4,4,0,6,5,4,8,9,4,5,2
%N The 10-adic integer z = ...57109377 satisfying z^7 + 1 = w, w^7 + 1 = x, x^7 + 1 = y, and y^7 + 1 = z.
%C There is one other ring of four 10-adic integers meeting the same conditions.
%H Seiichi Manyama, <a href="/A319263/b319263.txt">Table of n, a(n) for n = 0..5000</a>
%e 57109377^7 + 1 == 72890754 (mod 10^8), 72890754^7 + 1 == 9600385 (mod 10^8), 9600385^7 + 1 == 22890626 (mod 10^8), and 22890626^7 + 1 == 57109377 (mod 10^8).
%Y Cf. A319260 (w), A319261 (x), A319262 (y).
%Y Cf. A317850, A317864.
%K nonn,base
%O 0,1
%A _Patrick A. Thomas_, Sep 16 2018
%E Offset changed to 0 by _Seiichi Manyama_, Sep 21 2018
%E More terms from _Seiichi Manyama_, Sep 21 2018
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