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.

A061318 Column 3 of A061314.

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%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