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A009527
Expansion of sin(tanh(x)*cos(x)).
0
1, -6, 92, -3472, 209488, -17750304, 2024471360, -300235771648, 56114783183104, -12879188611161600, 3554985326516636672, -1160370413641935818752, 441696720455092381339648, -193795533844150807278624768
OFFSET
0,2
FORMULA
sin(tanh(x)*cos(x)) = Sum a(n)x^(2n+1)/(2n+1)!.
EXAMPLE
sin(tanh(x)*cos(x)) = x-x^3+(23/30)*x^5-(31/45)*x^7+(13093/22680)*x^9-(5603/12600)*x^11+(6326473/19459440)*x^13-(1172795983/5108103000)*x^15+...
MATHEMATICA
With[{nn=30}, Take[CoefficientList[Series[Sin[Tanh[x]*Cos[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Aug 29 2012 *)
CROSSREFS
Sequence in context: A009607 A009684 A221080 * A053512 A331623 A158121
KEYWORD
sign
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved