A013016 Expansion of e.g.f. tan(sinh(x) + log(x+1)).

0, 2, -1, 19, -54, 837, -5430, 85727, -913304, 15882789, -235221480, 4628229637, -86832384408, 1942163547859, -43698750863040, 1105827151216987, -28836153358566240, 818829801177930873, -24192235106596630656

Offset

0,2

Links

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

Example

2*x - 1/2!*x^2 + 19/3!*x^3 - 54/4!*x^4 + 837/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*tan(sinh(x)+log(x+1)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Aug 21 2018

Prog

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(tan(sinh(x) + log(x+1))))) \\ Michel Marcus, Jul 30 2018

Crossrefs

Sequence in context: A070890 A123907 A367971 * A012901 A013021 A012907

Adjacent sequences: A013013 A013014 A013015 * A013017 A013018 A013019

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