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A012415
Expansion of e.g.f. tanh(arctan(x) * exp(x)).
0
0, 1, 2, -1, -28, -115, 230, 7051, 43080, -172327, -6067382, -47080361, 309697324, 12289126629, 114505019694, -1105109602973, -48948382516592, -522517588252495, 7065091754607762, 338212264324430255
OFFSET
0,3
EXAMPLE
x + 2/2!*x^2 - 1/3!*x^3 - 28/4!*x^4 - 115/5!*x^5 ...
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Tanh[ArcTan[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 13 2018 *)
PROG
(PARI) my(x = 'x + O('x^30)); concat([0], Vec(serlaplace(tanh(atan(x) * exp(x))))) \\ Michel Marcus, Jul 19 2018
CROSSREFS
Sequence in context: A353910 A353913 A012411 * A012660 A015155 A009822
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 18 2018
STATUS
approved