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.

A086952 a(n) = n^2*4^n/4.

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%I A086952 #9 Oct 09 2022 16:37:58
%S A086952 0,1,16,144,1024,6400,36864,200704,1048576,5308416,26214400,126877696,
%T A086952 603979776,2835349504,13153337344,60397977600,274877906944,
%U A086952 1241245548544,5566277615616,24807731101696,109951162777600,484884627849216,2128654511374336,9306266417496064,40532396646334464
%N A086952 a(n) = n^2*4^n/4.
%H A086952 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-48,64).
%F A086952 G.f.: x*(1 + 4*x)/(1 - 4*x)^3.
%F A086952 E.g.f.: exp(4*x)*x*(1 + 4*x). - _Stefano Spezia_, Oct 09 2022
%Y A086952 Binomial transform of A086951. Third binomial transform of decagonal numbers A001107.
%K A086952 easy,nonn
%O A086952 0,3
%A A086952 _Paul Barry_, Jul 24 2003