Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #12 Jan 01 2024 10:14:04
%S 0,1,2,5,20,125,1022,10145,119240,1621625,25018202,431595485,
%T 8233157660,172077583925,3910293621782,95985774268025,
%U 2531103994315280,71356674948823025,2141700448802291762
%N Expansion of e.g.f. arcsin(sinh(x) * exp(x)).
%H Muniru A Asiru, <a href="/A012519/b012519.txt">Table of n, a(n) for n = 0..100</a>
%F E.g.f.: arcsin(sinh(x) * exp(x)).
%e x + 2/2!*x^2 + 5/3!*x^3 + 20/4!*x^4 + 125/5!*x^5 ...
%p seq(coeff(series(factorial(n)*arcsin(sinh(x)*exp(x)), x,n+1),x,n),n=0..20); # _Muniru A Asiru_, Jul 19 2018
%K nonn
%O 0,3
%A Patrick Demichel (patrick.demichel(AT)hp.com)
%E a(0) inserted and title improved by _Sean A. Irvine_, Jul 19 2018