A013329 - OEIS

A013329

Expansion of e.g.f. arcsin(exp(x) - sec(x)).

0, 1, 0, 2, -4, 20, -120, 632, -6704, 44480, -630240, 5566112, -91544704, 1063375040, -19258162560, 283305867392, -5578129589504, 99671066259200, -2135174387566080, 44678363702761472, -1044242762736047104

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..20.

EXAMPLE

x + 2/3!*x^3 - 4/4!*x^4 + 20/5!*x^5 - 120/6!*x^6 ...

PROG

(PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(asin(exp(x) - 1/cos(x))))) \\ Michel Marcus, Aug 06 2018

CROSSREFS

Sequence in context: A058006 A153229 A325617 * A364393 A324311 A303671

Adjacent sequences: A013326 A013327 A013328 * A013330 A013331 A013332

KEYWORD

sign

AUTHOR

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

EXTENSIONS

a(0)=0 inserted and title improved by Sean A. Irvine, Aug 05 2018

STATUS

approved