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A318140 The 10-adic integer f = ...6510474330 satisfying f^2 + 1 = a, a^2 + 1 = b, b^2 + 1 = c, c^2 + 1 = d, d^2 + 1 = e, and e^2 + 1 = f. 8

%I #16 Aug 24 2018 09:26:47

%S 0,3,3,4,7,4,0,1,5,6,7,8,5,7,3,3,2,6,6,6,1,6,1,5,8,4,0,3,9,4,0,2,6,0,

%T 9,4,0,4,2,2,1,7,7,0,7,8,9,7,0,6,3,0,3,5,1,6,5,2,4,3,5,6,0,6,0,4,6,4,

%U 8,1,8,6,2,8,0,7,9,4,1,2,6,2,9,1,7,5,2,0,6,4,5,4,3,7,4,4,9,8,0,7,6,7,0,1,3,2,8,4,7,5,5,6,3,9,7,0,1,8,0,8,3,7,3,5,8,6,2,4,6,6,9,5,0,7,8,6,2,7,7,4,8,2,1,7,1,4,5,5,9,3

%N The 10-adic integer f = ...6510474330 satisfying f^2 + 1 = a, a^2 + 1 = b, b^2 + 1 = c, c^2 + 1 = d, d^2 + 1 = e, and e^2 + 1 = f.

%C Data generated using MATLAB.

%H Seiichi Manyama, <a href="/A318140/b318140.txt">Table of n, a(n) for n = 0..1000</a>

%e 330^2 + 1 == 901 (mod 10^3), 901^2 + 1 == 802 (mod 10^3), 802^2 + 1 == 205 (mod 10^3), 205^2 + 1 == 26 (mod 10^3), 26^2 + 1 == 677 (mod 10^3), and 677^2 + 1 == 330 (mod 10^3), so 0 3 3 comprise the sequence's first three terms.

%Y Cf. A018247, A318135 (a), A318136 (b), A318137 (c), A318138 (d), A318139 (e).

%K nonn,base

%O 0,2

%A _Patrick A. Thomas_, Aug 19 2018

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