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%I #14 Aug 26 2016 09:25:29
%S 1,1,1,9,121,17161,33189121,9112869675009,4839170130591864288001,
%T 705579627764469400107962287271157001,
%U 54630717750911142085059359537536676834981970103054482555001
%N A nonlinear recurrence of order 3: a(1)=a(2)=a(3)=1; a(n)=(a(n-1)+a(n-2)+1)^2/a(n-3).
%C All terms are perfect squares.
%H Seiichi Manyama, <a href="/A276256/b276256.txt">Table of n, a(n) for n = 1..16</a>
%F a(n) = A276258(n)^2.
%F a(n) = 16*a(n-1)*a(n-2) - 2a(n-1) - 2a(n-2) - 2 - a(n-3).
%F a(n)*a(n-1)*a(n-2) = ((a(n) + a(n-1) + a(n-2) + 1)/4)^2.
%Y Cf. A276095.
%K nonn
%O 1,4
%A _Seiichi Manyama_, Aug 25 2016
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