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 A152619 #19 Jun 02 2025 01:14:55 %S A152619 0,9,32,75,144,245,384,567,800,1089,1440,1859,2352,2925,3584,4335, %T A152619 5184,6137,7200,8379,9680,11109,12672,14375,16224,18225,20384,22707, %U A152619 25200,27869,30720,33759,36992,40425,44064,47915,51984,56277,60800,65559 %N A152619 n*(n+2)^2. %H A152619 Luis Manuel Rivera, <a href="http://arxiv.org/abs/1406.3081">Integer sequences and k-commuting permutations</a>, arXiv preprint arXiv:1406.3081, 2014 %H A152619 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1). %F A152619 a(n) = A027620(n-1), n>0. %F A152619 G.f.: x(9-4x+x^2)/(1-x)^4. [From _R. J. Mathar_, Dec 10 2008] %t A152619 Table[n(n+2)^2,{n,0,60}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *) %t A152619 CoefficientList[Series[x (9-4x+x^2)/(1-x)^4,{x,0,50}],x] (* or *) LinearRecurrence[{4,-6,4,-1},{0,9,32,75},50] (* _Harvey P. Dale_, Aug 25 2023 *) %K A152619 nonn,easy %O A152619 0,2 %A A152619 _Philippe Deléham_, Dec 09 2008