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 A009565 #23 Jan 22 2018 03:04:46 %S A009565 0,1,2,4,16,96,576,3368,20672,141760,1091200,9098112,79676928, %T A009565 726208640,6919738112,69344336896,731241201664,8076031881216, %U A009565 92856867250176,1106883171037184,13655807547883520,174298975125127168,2300708116863287296,31372716744306524160 %N A009565 Expansion of e.g.f. sinh(exp(x)*x). %H A009565 Alois P. Heinz, <a href="/A009565/b009565.txt">Table of n, a(n) for n = 0..541</a> %p A009565 a:= n-> add(`if`(k::odd, binomial(n, k)*k^(n-k), 0), k=0..n): %p A009565 seq(a(n), n=0..25); # _Alois P. Heinz_, Jan 15 2018 %t A009565 With[{nmax = 50}, CoefficientList[Series[Sinh[x*Exp[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jan 21 2018 *) %o A009565 (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(x*exp(x))))) \\ _G. C. Greubel_, Jan 21 2018 %Y A009565 Cf. A009121. %K A009565 nonn,easy %O A009565 0,3 %A A009565 _R. H. Hardin_ %E A009565 Extended and signs tested by _Olivier Gérard_, Mar 15 1997