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.
%I A038165 #11 Jul 08 2025 22:08:44
%S A038165 1,5,20,60,160,376,820,1660,3190,5830,10252,17380,28600,45760,71500,
%T A038165 109252,163735,240955,348920,497640,700128,972400,1334840,1812200,
%U A038165 2435420,3241628,4276520,5594360,7261040,9354080,11966504,15206840
%N A038165 G.f.: 1/((1-x)*(1-x^2))^5.
%H A038165 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (5, -5, -15, 35, 1, -65, 45, 45, -65, 1, 35, -15, -5, 5, -1).
%F A038165 a(2*k) = binomial(k + 7, 7)*(4*k^2 + 23*k + 18)/18 = A059601(k); a(2*k + 1) = binomial(k + 7, 7)*(4*k^2 + 41*k + 90)/18 = A059602(k), k >= 0.
%t A038165 CoefficientList[Series[1/((1-x)(1-x^2))^5,{x,0,35}],x] (* _Harvey P. Dale_, Apr 02 2011 *)
%Y A038165 Cf. A008619, A006918, A038163.
%K A038165 nonn
%O A038165 0,2
%A A038165 _N. J. A. Sloane_