%I #23 Aug 26 2018 09:48:05
%S 0,5,2,9,2,4,5,6,9,9,8,8,3,7,7,4,4,6,7,6,2,9,8,5,1,6,6,4,0,4,1,6,5,7,
%T 5,7,9,1,5,6,9,7,4,3,6,2,8,0,1,7,6,0,1,8,2,6,7,8,8,0,8,3,7,4,8,3,3,9,
%U 1,5,5,4,1,5,9,1,7,8,9,3,5,1,9,8,0,7,4,3,0,3,8
%N The 10-adic integer a_0 = ...7644773889965429250 satisfying a_0^9 + 1 = a_1, a_1^9 + 1 = a_2, ... , a_8^9 + 1 = a_9 and a_9^9 + 1 = a_0.
%H Seiichi Manyama, <a href="/A318379/b318379.txt">Table of n, a(n) for n = 0..5000</a>
%e 7644773889965429250^9 + 1 == 7705078125000000001 (mod 10^19),
%e 7705078125000000001^9 + 1 == 9345703125000000002 (mod 10^19),
%e 9345703125000000002^9 + 1 == 2500000000000000513 (mod 10^19),
%e 2500000000000000513^9 + 1 == 8996619787545743874 (mod 10^19),
%e 8996619787545743874^9 + 1 == 3747888971752538625 (mod 10^19),
%e 3747888971752538625^9 + 1 == 1601963043212890626 (mod 10^19),
%e 1601963043212890626^9 + 1 == 5448818206787109377 (mod 10^19),
%e 5448818206787109377^9 + 1 == 6396884918212891138 (mod 10^19),
%e 6396884918212891138^9 + 1 == 5099734869332853249 (mod 10^19),
%e 5099734869332853249^9 + 1 == 7644773889965429250 (mod 10^19).
%Y Cf. this sequence (a_0), A318380 (a_1), A318381 (a_2), A318382 (a_3), A318383 (a_4), A318384 (a_5), A318385 (a_6), A318386 (a_7), A318409 (a_8), A318410 (a_9).
%K nonn,base
%O 0,2
%A _Seiichi Manyama_, Aug 25 2018