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%I #17 Mar 03 2024 14:47:20
%S 0,9,32,75,144,245,384,567,800,1089,1440,1859,2352,2925,3584,4335,
%T 5184,6137,7200,8379,9680,11109,12672,14375,16224,18225,20384,22707,
%U 25200,27869,30720,33759,36992,40425,44064,47915,51984,56277,60800,65559
%N n*(n+2)^2
%H 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 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F a(n) = A027620(n-1), n>0.
%F G.f.: x(9-4x+x^2)/(1-x)^4. [From _R. J. Mathar_, Dec 10 2008]
%t Table[n(n+2)^2,{n,0,60}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *)
%t 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 nonn,easy
%O 0,2
%A _Philippe Deléham_, Dec 09 2008
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