A012520 Expansion of e.g.f. arctan(sinh(x) * exp(x)).

0, 1, 2, 2, -16, -160, -688, 3152, 99584, 992000, 31232, -190094848, -3600265216, -20655831040, 737829988352, 25775848957952, 333499542339584, -4040309414625280, -311707129046499328, -7000770202915176448

Offset

0,3

Links

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

Example

x + 2/2!*x^2 + 2/3!*x^3 - 16/4!*x^4 - 160/5!*x^5 ...

Maple

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

Crossrefs

Sequence in context: A230990 A217977 A012319 * A012323 A009804 A027607

Adjacent sequences: A012517 A012518 A012519 * A012521 A012522 A012523

Keyword

sign

Author

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

Extensions

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

Status

approved