A012516 Expansion of e.g.f. arctanh(sinh(x) * log(x+1)).

0, 0, 2, -3, 12, -40, 430, -3591, 37464, -373752, 4749658, -65476675, 1030634660, -17005495728, 307003733062, -5926728736215, 123925742441648, -2752109508497296, 65023509028085682, -1622290259238643683

Offset

0,3

Links

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

Example

2/2!*x^2 - 3/3!*x^3 + 12/4!*x^4 - 40/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*arctanh(sinh(x)*log(x+1)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 19 2018

Crossrefs

Sequence in context: A012309 A012305 A012512 * A012306 A012312 A009243

Adjacent sequences: A012513 A012514 A012515 * A012517 A012518 A012519

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 19 2018

Status

approved