A012774 Expansion of e.g.f. arcsin(sec(x) * log(x+1)).

0, 1, -1, 6, -18, 143, -915, 9730, -100940, 1376357, -19680165, 332019710, -6000731022, 121502892067, -2640899177735, 62588297762666, -1585329875795640, 43101529687518377, -1245060181757058633

Offset

0,4

Links

Table of n, a(n) for n=0..18.

Example

x - 1/2!*x^2 + 6/3!*x^3 - 18/4!*x^4 + 143/5!*x^5 ...

Prog

(PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(asin(log(x+1)/cos(x))))) \\ Michel Marcus, Jul 27 2018

Crossrefs

Sequence in context: A009582 A222913 A091054 * A306656 A027744 A196868

Adjacent sequences: A012771 A012772 A012773 * A012775 A012776 A012777

Keyword

sign

Author

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

Extensions

a(0) inserted and title improved by Sean A. Irvine, Jul 24 2018

Status

approved