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A009485
Expansion of e.g.f. sin(sin(x)/cosh(x)), odd powers only.
1
1, -5, 77, -2641, 149529, -12183613, 1342074021, -192192501897, 34713417890609, -7713202738776565, 2065351603144405245, -655189775541151687489, 242766537537541761422153, -103817685952332598159305517
OFFSET
0,2
LINKS
FORMULA
a(n) = (2n+1)! * [x^(2n+1)] sin(sin(x)/cosh(x)). - Alois P. Heinz, Feb 09 2014
MAPLE
a:= n-> (2*n+1)!*coeff(series(sin(sin(x)/cosh(x)), x, 2*n+2), x, 2*n+1):
seq(a(n), n=0..20); # Alois P. Heinz, Feb 09 2014
MATHEMATICA
With[{nn=30}, Take[CoefficientList[Series[Sin[Sin[x]/Cosh[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Aug 17 2013 *)
PROG
(PARI) my(x='x+O('x^39)); vector(1/2*#v=Vec(sin(sin(x)/cosh(x))), n, v[2*n+1]*(2*n+1)!) \\ M. F. Hasler, Feb 09 2014
CROSSREFS
Sequence in context: A287041 A360351 A318236 * A188455 A015056 A326870
KEYWORD
sign
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
Prior Mathematica program deleted by Harvey P. Dale, Aug 17 2013
STATUS
approved