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%I #26 Mar 15 2024 02:25:10
%S 0,1,6,46,336,2476,18216,134056,986496,7259536,53422176,393128416,
%T 2892992256,21289237696,156665348736,1152884469376,8483960303616,
%U 62432606515456,459435242128896,3380937517927936,24879977528856576,183089240352418816,1347335217403078656
%N a(n) = 6*a(n-1) + 10*a(n-2), with a(0)=0, a(1)=1.
%H G. C. Greubel, <a href="/A190005/b190005.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,10).
%F G.f.: x/(1 - 6*x - 10*x^2). - _R. J. Mathar_, Nov 20 2011
%t LinearRecurrence[{6,10}, {0,1}, 50]
%t CoefficientList[Series[x/(1-6*x-10*x^2), {x, 0, 50}], x] (* _G. C. Greubel_, Jan 11 2018 *)
%o (PARI) x='x+O('x^30); concat([0], Vec(x/(1-6*x-10*x^2))) \\ _G. C. Greubel_, Jan 11 2018
%o (Magma) I:=[0,1]; [n le 2 select I[n] else 6*Self(n-1) + 10*Self(n-2): n in [1..30]]; \\ _G. C. Greubel_, Jan 11 2018
%K nonn,easy
%O 0,3
%A _Vladimir Joseph Stephan Orlovsky_, May 24 2011
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