A013019 Expansion of e.g.f. sinh(sinh(x) + log(x+1)).

0, 2, -1, 11, -30, 207, -1095, 8304, -64372, 589941, -5860125, 64691794, -775311174, 10085421751, -141164863203, 2117691780304, -33881891414760, 576001188753673, -10367968207899897, 196991835391515262

Offset

0,2

Links

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

Example

2*x - 1/2!*x^2 + 11/3!*x^3 - 30/4!*x^4 + 207/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*sinh(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(sinh(sinh(x) + log(x+1))))) \\ Michel Marcus, Jul 30 2018

Crossrefs

Sequence in context: A184299 A080371 A151337 * A012904 A013015 A012900

Adjacent sequences: A013016 A013017 A013018 * A013020 A013021 A013022

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