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A024282
Expansion of e.g.f. tanh(x)*sin(sin(x))/2, even powers only.
2
0, 1, -8, 124, -3168, 121232, -6609664, 491033408, -47878820864, 5942382135552, -915386669357056, 171409533142952960, -38347910567533715456, 10102227232688591245312, -3095277524018668920373248
OFFSET
0,3
LINKS
FORMULA
a(n) ~ (-1)^(n+1) * sinh(sinh(Pi/2)) * 2^(2*n+1) * (2*n)! / Pi^(2*n+1). - Vaclav Kotesovec, Apr 20 2014
MATHEMATICA
With[{nn=30}, Take[CoefficientList[Series[Tanh[x]Sin[Sin[x]]/2, {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Oct 20 2013 *)
PROG
(PARI) A024282=n->{my(t=x+O(x^(2*n+!n))); polcoeff(tanh(t)*sin(sin(t)), n*2, x)/2*(2*n)!} \\ M. F. Hasler, Feb 09 2014
CROSSREFS
Cf. A009833.
Sequence in context: A069459 A254125 A371298 * A340888 A231638 A065082
KEYWORD
sign
AUTHOR
EXTENSIONS
Extended with signs by Olivier GĂ©rard, Mar 15 1997
Prior Mathematica program replaced by Harvey P. Dale, Oct 20 2013
Clarified definition, Joerg Arndt, Feb 09 2014
STATUS
approved