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A012574
Expansion of e.g.f.: arcsin(arcsinh(x)*log(x+1)).
1
0, 0, 2, -3, 4, -20, 278, -2079, 12024, -102024, 1526202, -21144915, 254194620, -3422013660, 60148579710, -1146224919735, 21194144971440, -407432463085200, 8837992445168370, -209438776595814435, 5103026808528257460, -128021892811081933860
OFFSET
0,3
EXAMPLE
arcsin(arcsinh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 4/4!*x^4 - 20/5!*x^5 + ...
MATHEMATICA
With[{nn=20}, CoefficientList[Series[ArcSin[ArcSinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 17 2015 *)
CROSSREFS
Sequence in context: A347210 A012284 A244673 * A012282 A012287 A012575
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
First two terms inserted by Harvey P. Dale, Jul 17 2015
STATUS
approved