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A013021
Expansion of e.g.f. arctanh(sinh(x) + log(x+1)).
1
0, 2, -1, 19, -54, 1093, -7350, 163231, -1890840, 46856629, -793522800, 22080566781, -495344954280, 15484604767435, -431828053264608, 15117468706455571, -502151660656769760, 19584866374955872169
OFFSET
0,2
LINKS
EXAMPLE
2*x - 1/2!*x^2 + 19/3!*x^3 - 54/4!*x^4 ...
MAPLE
seq(coeff(series(factorial(n)*arctanh(sinh(x)+log(x+1)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 30 2018
PROG
(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(atanh(sinh(x) + log(x+1))))) \\ Michel Marcus, Jul 30 2018
CROSSREFS
Sequence in context: A367971 A013016 A012901 * A012907 A317996 A066753
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0)=0 inserted and title improved by Sean A. Irvine, Jul 30 2018
STATUS
approved