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A218716 a(n) is smallest number such that a(n)^2 + 1 is divisible by 61^n.

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%I A218716 #4 Nov 05 2012 12:19:42
%S A218716 0,11,682,51412,6304056,144762466,9435321777,988322434636,
%T A218716 71294762793847,3138611770750343,283798117998769727,
%U A218716 15409745938584647495,320007169218635518122,45443939732277600209579,207359227164430355867160,59053635973003478214807486
%N A218716 a(n) is smallest number such that a(n)^2 + 1 is divisible by 61^n.
%e A218716 a(3) = 51412 because 51412^2+1 = 5 * 17 * 61 ^ 3 * 137.
%t A218716 b=11;n61=61;jo=Join[{0,b},Table[n61=61*n61;b=PowerMod[b,61,n61];b=Min[b,n61-b],{99}]]
%Y A218716 Cf. A002522, A049532, A034939, A218709, A218710, A218712, A218713, A218714, A218715.
%K A218716 nonn
%O A218716 0,2
%A A218716 _Michel Lagneau_, Nov 04 2012