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.

A242373 Sum_{k=0..n} C(n,k) * (2*k+1)^(2*n).

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%I A242373 #6 May 14 2014 16:59:37
%S A242373 1,10,788,166712,68475920,46294050592,46645589472064,
%T A242373 65553860981315968,122544885380995907840,294065070661381857417728,
%U A242373 881074796163065604590326784,3223847668121045228481269463040,14146460882056535042193752974692352
%N A242373 Sum_{k=0..n} C(n,k) * (2*k+1)^(2*n).
%F A242373 a(n) ~ 2^(2*n) * n^(2*n) * r^(2*n+1) / (sqrt(2-r) * exp(2*n) * (1-r)^(n+1/2)), where r = 2/(2+LambertW(2*exp(-2))) = 0.901829091937052... . - _Vaclav Kotesovec_, May 14 2014
%t A242373 Table[Sum[Binomial[n,k]*(2*k+1)^(2*n),{k,0,n}],{n,0,20}]
%Y A242373 Cf. A222525, A242449.
%K A242373 nonn,easy
%O A242373 0,2
%A A242373 _Vaclav Kotesovec_, May 12 2014