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A013010
Expansion of e.g.f. log(cos(x) + arcsin(x)).
0
0, 1, -2, 6, -24, 148, -1040, 9184, -91840, 1066640, -13775872, 199000736, -3146553344, 54431471040, -1017854502912, 20523724218880, -442966494683136, 10203766053312768, -249626351047671808
OFFSET
0,3
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
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