A012471 - OEIS

A012471

Expansion of e.g.f. arctanh(cos(x)*log(x+1)).

0, 1, -1, 1, -12, 43, -315, 2987, -24976, 288541, -3544965, 46607053, -707823996, 11389328039, -199011366463, 3776136616951, -76078523849280, 1640713749767833, -37603782922082121, 910746316680339641

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

OFFSET

0,5

LINKS

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

EXAMPLE

x - 1/2!*x^2 + 1/3!*x^3 - 12/4!*x^4 + 43/5!*x^5 ...

MATHEMATICA

With[{nn=20}, CoefficientList[Series[ArcTanh[Cos[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 18 2020 *)

CROSSREFS

Sequence in context: A251929 A004636 A136279 * A116187 A009790 A009519

Adjacent sequences: A012468 A012469 A012470 * A012472 A012473 A012474

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