A012468 Expansion of e.g.f. arcsin(cos(x) * log(x+1)).

0, 1, -1, 0, -6, 23, -135, 1288, -10164, 106661, -1257165, 15497152, -222045450, 3414340811, -56743257571, 1031328757912, -19972120728840, 414440475923689, -9175579196399001, 215060308589382272

Offset

0,5

Links

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

Example

x - 1/2!*x^2 - 6/4!*x^4 + 23/5!*x^5 - 135/6!*x^6 ...

Mathematica

With[{nn=20}, CoefficientList[Series[ArcSin[Cos[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 10 2019 *)

Prog

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asin(cos(x)*log(x+1))))) \\ Michel Marcus, Jul 19 2018

Crossrefs

Sequence in context: A266996 A013263 A013259 * A219168 A013260 A013266

Adjacent sequences: A012465 A012466 A012467 * A012469 A012470 A012471

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