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A012901
Expansion of e.g.f. tan(arcsin(x) + log(x+1)).
0
0, 2, -1, 19, -54, 845, -5430, 87295, -918680, 16270805, -238487400, 4764161125, -88762680600, 2008590276875, -45022914664000, 1149365559242875, -29931318941628000, 855642174671233625, -25288573510727280000
OFFSET
0,2
EXAMPLE
2*x - 1/2!*x^2 + 19/3!*x^3 - 54/4!*x^4 + 845/5!*x^5 ...
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Tan[ArcSin[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 04 2021 *)
CROSSREFS
Sequence in context: A123907 A367971 A013016 * A013021 A012907 A317996
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 27 2018
STATUS
approved