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%I #12 Aug 20 2019 14:36:09
%S 0,1,2,140,552,20144,115360,2970304,21629568,447220480,3836062208,
%T 68494109696,658692679680,10632584278016,110847372992512,
%U 1667726207795200,18410695142572032,263632154545291264,3031118848480378880,41916210715120369664,496064584823572267008
%N Expansion of -x^2/(136*x^2+2*x-1).
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (2,136).
%F a(n)= ((1 + sqrt(137))^n - (1 - sqrt(137))^n) / (2*sqrt(137)).
%F G.f.: -x^2/(136*x^2+2*x-1). [_Colin Barker_, Jan 02 2013]
%t a[n_] = ((1 + Sqrt[137])^n - (1 - Sqrt[137])^n)/(2*Sqrt[137]); Table[ExpandAll[a[n]], {n, 0, 30}]
%t CoefficientList[Series[-x^2/(136*x^2+2*x-1),{x,0,30}],x] (* or *) LinearRecurrence[ {2,136},{0,1},30] (* _Harvey P. Dale_, Aug 20 2019 *)
%K nonn,easy
%O 1,3
%A _Roger L. Bagula_ and _Gary W. Adamson_, Jul 24 2008
%E New name and more terms from _Colin Barker_, Jan 02 2013