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 A061318 #13 Sep 01 2023 04:21:11 %S A061318 0,4,40,304,1720,7480,26404,79240,209304,499140,1095160,2242504, %T A061318 4332640,7966504,14036260,23829040,39156304,62512740,97268904, %U A061318 147902080,220270120,321933304,462529540,654208504,912130600,1255036900,1705896504,2292638040,3048972304,4015313320 %N A061318 Column 3 of A061314. %H A061318 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1) %F A061318 a(n) = A061316(n) + A006007(n)^2 = 4*A061319(n). %F A061318 G.f. -4*x*(1+x+22*x^2+22*x^3+22*x^4+x^5+x^6)/(x-1)^9. - _R. J. Mathar_, Aug 11 2012 %t A061318 CoefficientList[Series[-4x (1+x+22x^2+22x^3+22x^4+x^5+x^6)/(x-1)^9,{x,0,30}],x] (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{0,4,40,304,1720,7480,26404,79240,209304},30] (* _Harvey P. Dale_, Jul 04 2023 *) %Y A061318 Cf. A006007, A061314, A061316, A061319. %K A061318 nonn,easy %O A061318 0,2 %A A061318 _Henry Bottomley_, Apr 24 2001 %E A061318 a(25)-a(29) from _Stefano Spezia_, Aug 31 2023