A009527 Expansion of sin(tanh(x)*cos(x)).

1, -6, 92, -3472, 209488, -17750304, 2024471360, -300235771648, 56114783183104, -12879188611161600, 3554985326516636672, -1160370413641935818752, 441696720455092381339648, -193795533844150807278624768

Offset

0,2

Links

Table of n, a(n) for n=0..13.

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

Adjacent sequences: A009524 A009525 A009526 * A009528 A009529 A009530

Keyword

sign

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved