A013010 - OEIS

A013010

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

0, 1, -2, 6, -24, 148, -1040, 9184, -91840, 1066640, -13775872, 199000736, -3146553344, 54431471040, -1017854502912, 20523724218880, -442966494683136, 10203766053312768, -249626351047671808

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

OFFSET

0,3

LINKS

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

EXAMPLE

x - 2/2!*x^2 + 6/3!*x^3 - 24/4!*x^4 + 148/5!*x^5 ...

MATHEMATICA

With[{nn=20}, CoefficientList[Series[Log[Cos[x]+ArcSin[x]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Jan 25 2019 *)

PROG

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

CROSSREFS

Sequence in context: A191006 A082471 A275594 * A275955 A009608 A012715

Adjacent sequences: A013007 A013008 A013009 * A013011 A013012 A013013

KEYWORD

sign

AUTHOR

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

EXTENSIONS

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 30 2018

STATUS

approved