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A012519
Expansion of e.g.f. arcsin(sinh(x) * exp(x)).
1
0, 1, 2, 5, 20, 125, 1022, 10145, 119240, 1621625, 25018202, 431595485, 8233157660, 172077583925, 3910293621782, 95985774268025, 2531103994315280, 71356674948823025, 2141700448802291762
OFFSET
0,3
LINKS
FORMULA
E.g.f.: arcsin(sinh(x) * exp(x)).
EXAMPLE
x + 2/2!*x^2 + 5/3!*x^3 + 20/4!*x^4 + 125/5!*x^5 ...
MAPLE
seq(coeff(series(factorial(n)*arcsin(sinh(x)*exp(x)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 19 2018
CROSSREFS
Sequence in context: A112833 A144503 A012321 * A076795 A130293 A156073
KEYWORD
nonn
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 19 2018
STATUS
approved