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A009817
Expansion of e.g.f. tanh(tan(x)*x) (even powers only).
3
0, 2, 8, -144, -11264, -323840, 36347904, 8388294656, 620426657792, -168731721990144, -79627879039631360, -11099857853570613248, 5627175549005859913728, 4469405304978356270268416
OFFSET
0,2
LINKS
Iain Fox, Table of n, a(n) for n = 0..231 (first 101 terms from Vincenzo Librandi)
MAPLE
S:= series(tanh(tan(x)*x), x, 41):
seq(coeff(S, x, n)*n!, n=0..40, 2); # Robert Israel, Dec 21 2017
MATHEMATICA
With[{nn=30}, Take[CoefficientList[Series[Tanh[Tan[x]*x], {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Oct 28 2013 *)
PROG
(PARI) first(n) = x='x+O('x^(2*n-1)); vecextract(Vec(serlaplace(tanh(tan(x)*x)), -2*n), (4^n - 1)/3) \\ Iain Fox, Dec 21 2017
CROSSREFS
KEYWORD
sign
AUTHOR
R. H. Hardin, Mar 15 1996
EXTENSIONS
Extended with signs by Olivier GĂ©rard, Mar 15 1997
Prior Mathematica program replaced by Harvey P. Dale, Oct 28 2013
STATUS
approved