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%I #9 Feb 07 2022 11:05:11
%S 1,9,139,2211,35233,561513,8948971,142622019,2273003329,36225431241,
%T 577333896523,9201116913123,146640536713441,2337047470501929,
%U 37246118991317419,593600856390576771,9460367583257910913,150772280475735997833,2402896120028518054411
%N a(0) = 1, a(1) = 9, and a(n) = 16*a(n-1) - a(n-2) - 4 for n >= 2.
%C One of 10 linear second-order recurrence sequences satisfying (a(n)*a(n-1)-1) * (a(n)*a(n+1)-1) = (a(n)+1)^4 and together forming A350916.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-17,1).
%F G.f.: (1 - 8*x + 3*x^2)/((1 - x)*(1 - 16*x + x^2)). - _Stefano Spezia_, Jan 22 2022
%F 7*a(n) = 2+5*A077412(n)-19*A077412(n-1). - _R. J. Mathar_, Feb 07 2022
%Y Cf. A350916.
%Y Other sequences satisfying (a(n)*a(n-1)-1) * (a(n)*a(n+1)-1) = (a(n)+1)^4: A103974, A350917, A350919, A350920, A350921, A350922, A350923, A350924, A350926.
%K nonn,easy
%O 0,2
%A _Max Alekseyev_, Jan 22 2022
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