A013071 Expansion of e.g.f. arcsin(arcsinh(x) + log(x+1)).

0, 2, -1, 9, -30, 391, -2775, 46172, -553588, 11192005, -191351925, 4574986218, -101907446454, 2833505631927, -77498068854843, 2470831451157672, -79828818251187240, 2882452216947371577, -107102178298972458153

Offset

0,2

Links

Muniru A Asiru, Table of n, a(n) for n = 0..100

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

Adjacent sequences: A013068 A013069 A013070 * A013072 A013073 A013074

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