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Expansion of e.g.f. arcsin(sinh(x) * exp(x)).
1

%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