cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A190005 a(n) = 6*a(n-1) + 10*a(n-2), with a(0)=0, a(1)=1.

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%I A190005 #30 Mar 17 2025 15:50:01
%S A190005 0,1,6,46,336,2476,18216,134056,986496,7259536,53422176,393128416,
%T A190005 2892992256,21289237696,156665348736,1152884469376,8483960303616,
%U A190005 62432606515456,459435242128896,3380937517927936,24879977528856576,183089240352418816,1347335217403078656
%N A190005 a(n) = 6*a(n-1) + 10*a(n-2), with a(0)=0, a(1)=1.
%H A190005 G. C. Greubel, <a href="/A190005/b190005.txt">Table of n, a(n) for n = 0..1000</a>
%H A190005 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,10).
%F A190005 G.f.: x/(1 - 6*x - 10*x^2). - _R. J. Mathar_, Nov 20 2011
%t A190005 LinearRecurrence[{6,10}, {0,1}, 50]
%t A190005 CoefficientList[Series[x/(1-6*x-10*x^2), {x, 0, 50}], x] (* _G. C. Greubel_, Jan 11 2018 *)
%o A190005 (PARI) x='x+O('x^30); concat([0], Vec(x/(1-6*x-10*x^2))) \\ _G. C. Greubel_, Jan 11 2018
%o A190005 (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 A190005 nonn,easy
%O A190005 0,3
%A A190005 _Vladimir Joseph Stephan Orlovsky_, May 24 2011