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.

A249737 E.g.f.: Product_{k=1..n} cosh(k*x).

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%I A249737 #8 Nov 04 2014 09:11:02
%S A249737 1,0,5,0,1992,0,6167551,0,73432708224,0,2389444075877425,0,
%T A249737 173496878823412858880,0,24573448663070711791073155,0,
%U A249737 6168942712247503719875933929472,0,2554865971518520622455831203134760669,0,1650933998542152349112398040415912949710848,0
%N A249737 E.g.f.: Product_{k=1..n} cosh(k*x).
%H A249737 Vaclav Kotesovec, <a href="/A249737/b249737.txt">Table of n, a(n) for n = 0..235</a>
%F A249737 If n is even a(n) ~ c * d^n * n^(2*n) / (2^(2*n-2) * exp(2*n)), where d = 8.9061971328050809899679389417314..., c = 1.004120096780056350248342856...
%t A249737 Table[n!*SeriesCoefficient[Product[Cosh[k*x],{k,1,n}],{x,0,n}],{n,0,20}]
%t A249737 nn = 20; tab = ConstantArray[0,nn]; tab[[1]] = Series[Cosh[x],{x,0,nn}]; Do[tab[[k]] = Series[tab[[k-1]]*Cosh[k*x],{x,0,nn}],{k,2,nn}]; Flatten[{1,Table[k!*Coefficient[tab[[k]],x^k],{k,1,nn}]}] (* more efficient *)
%Y A249737 Cf. A249698, A177385, A177387, A001044 (e.g.f.: product_{k=1..n} sinh(k*x)).
%K A249737 nonn
%O A249737 0,3
%A A249737 _Vaclav Kotesovec_, Nov 04 2014