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A012699
Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).
0
0, 0, 2, -3, 16, -50, 488, -3024, 35376, -313704, 4361472, -52901640, 869275680, -13360922640, 252154734960, -4681650438360, 100596004131840, -2186713427586240, 52870374675586560, -1312523172135192960
OFFSET
0,3
FORMULA
E.g.f.: arcsin(arctanh(x) * log(x+1)).
EXAMPLE
2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 ...
MATHEMATICA
Range[0, 20]! CoefficientList[ Series[ ArcSin[ ArcTanh[x] Log[x + 1]], {x, 0, 20}], x] (* Robert G. Wilson v, Jul 24 2018 *)
CROSSREFS
Sequence in context: A012355 A012353 A012703 * A012354 A012358 A012700
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 24 2018
STATUS
approved