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.

A259279 a(n) = Sum_{k=0..n} k^2 * A000041(k).

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%I A259279 #3 Jun 23 2015 07:30:23
%S A259279 0,1,9,36,116,291,687,1422,2830,5260,9460,16236,27324,44393,70853,
%T A259279 110453,169589,255422,380162,557052,807852,1157124,1642092,2305987,
%U A259279 3213187,4436937,6083673,8277963,11192875,15032040,20075640,26650802,35200178,46245905,60476265
%N A259279 a(n) = Sum_{k=0..n} k^2 * A000041(k).
%F A259279 a(n) ~ n^(3/2) * exp(Pi*sqrt(2*n/3)) / (Pi*2^(3/2)).
%t A259279 Table[Sum[k^2*PartitionsP[k],{k,0,n}],{n,0,50}]
%Y A259279 Cf. A000041, A182738, A086716.
%K A259279 nonn
%O A259279 0,3
%A A259279 _Vaclav Kotesovec_, Jun 23 2015