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A013071
Expansion of e.g.f. arcsin(arcsinh(x) + log(x+1)).
2
0, 2, -1, 9, -30, 391, -2775, 46172, -553588, 11192005, -191351925, 4574986218, -101907446454, 2833505631927, -77498068854843, 2470831451157672, -79828818251187240, 2882452216947371577, -107102178298972458153
OFFSET
0,2
LINKS
EXAMPLE
2*x - 1/2!*x^2 + 9/3!*x^3 - 30/4!*x^4 + 391/5!*x^5 ...
MAPLE
seq(coeff(series(factorial(n)*arcsin(arcsinh(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(asin(asinh(x) + log(x+1))))) \\ Michel Marcus, Jul 30 2018
CROSSREFS
Sequence in context: A259872 A320534 A012892 * A155756 A204432 A139004
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