A012414 Expansion of e.g.f. arcsinh(arctan(x) * exp(x)).

0, 1, 2, 0, -16, -52, 200, 3752, 18496, -190384, -4797152, -28063552, 661457920, 17348360768, 74504846208, -4999196993152, -124352680593408, -83620707815168, 65968266617811456, 1541961961341134848

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Example

x + 2/2!*x^2 - 16/4!*x^4 - 52/5!*x^5 + 200/6!*x^6 ...

Prog

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asinh(atan(x) * exp(x))))) \\ Michel Marcus, Jul 19 2018

Crossrefs

Sequence in context: A009246 A358629 A338448 * A098336 A116093 A012409

Adjacent sequences: A012411 A012412 A012413 * A012415 A012416 A012417

Keyword

sign

Author

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

Extensions

a(0) inserted and title improved by Sean A. Irvine, Jul 18 2018

Status

approved