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A012661
Expansion of e.g.f. arcsinh(tanh(x) * exp(x)).
1
0, 1, 2, 0, -16, -60, 152, 4200, 25664, -186480, -5704288, -39336000, 690642944, 20876856000, 130293779072, -5328943401600, -157981983410176, -643110850533120, 73817890476319232, 2117532947966822400, -32035386635677696, -1662866885052169251840, -45187519429186322679808
OFFSET
0,3
LINKS
EXAMPLE
x + 2/2!*x^2 - 16/4!*x^4 - 60/5!*x^5 + 152/6!*x^6 ...
MAPLE
seq(coeff(series(factorial(n)*arcsinh(tanh(x)*exp(x)), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 24 2018
MATHEMATICA
With[{nn=25}, Drop[CoefficientList[Series[ArcSinh[Tanh[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!]] (* Vincenzo Librandi, Jul 24 2018 *)
CROSSREFS
Sequence in context: A098336 A116093 A012409 * A345652 A009528 A178987
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 23 2018
STATUS
approved