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 A291392 #6 Nov 24 2023 15:45:28 %S A291392 1,10,90,765,6264,49968,390960,3013740,22958640,173225952,1296640224, %T A291392 9640743120,71270772480,524277204480,3840015361536,28018969060032, %U A291392 203753553511680,1477232299307520,10681095982072320,77040637862485248,554445497303525376 %N A291392 a(n) = (1/12)*A291391(n). %H A291392 Clark Kimberling, <a href="/A291392/b291392.txt">Table of n, a(n) for n = 0..1000</a> %H A291392 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (12, -24, -72, -36) %F A291392 G.f.: -(((1 + x) (-1 + 3 x + 3 x^2))/(-1 + 6 x + 6 x^2)^2). %F A291392 a(n) = 12*a(n-1) - 24*a(n-2) - 72*a(n-3) - 36*a(n-4) for n >= 5. %t A291392 z = 60; s = x + x^2; p = (1 - 6 s)^2; %t A291392 Drop[CoefficientList[Series[s, {x, 0, z}], x], 1] (* A019590 *) %t A291392 u = Drop[CoefficientList[Series[1/p, {x, 0, z}], x], 1] (* A291391 *) %t A291392 u / 12 (* A291392 *) %t A291392 LinearRecurrence[{12,-24,-72,-36},{1,10,90,765},30] (* _Harvey P. Dale_, Nov 24 2023 *) %Y A291392 Cf. A019590, A291382, A291391. %K A291392 nonn,easy %O A291392 0,2 %A A291392 _Clark Kimberling_, Sep 06 2017