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.
%I A182965 #9 Oct 07 2020 08:15:37 %S A182965 1,2,4,36,168,1440,13920,134400,1619520,20549760,294631680,4449096960, %T A182965 74429752320,1312794362880,24870628823040,501316411115520, %U A182965 10661299747338240,239672059847700480,5664762159214878720 %N A182965 E.g.f.: A(x) = Product_{n>=1} (1 + 2*x^n/n)^n. %H A182965 Vaclav Kotesovec, <a href="/A182965/b182965.txt">Table of n, a(n) for n = 0..439</a> %e A182965 E.g.f.: A(x) = 1 + 2*x + 4*x^2/2! + 36*x^3/3! + 168*x^4/4! +... %e A182965 A(x) = (1+2x)*(1+2x^2/2)^2*(1+2x^3/3)^3*(1+2x^4/4)^4*(1+2x^5/5)^5*... %t A182965 nmax = 20; CoefficientList[Series[Product[(1 + 2*x^k/k)^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 07 2020 *) %o A182965 (PARI) {a(n,k=2)=n!*polcoeff(prod(m=1,n,(1+k*x^m/m+x*O(x^n))^m),n)} %Y A182965 Cf. A181541, A182966, A182967, A007838. %K A182965 nonn %O A182965 0,2 %A A182965 _Paul D. Hanna_, Dec 19 2010