OFFSET
0,7
FORMULA
a(0) = 1; a(n) = Sum_{k=1..floor((n-1)/2)} (-1)^k * binomial(n-1,2*k) * a(n-2*k-1). - Ilya Gutkovskiy, Apr 09 2022
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Exp[Sin[x]]/Exp[x], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Jun 27 2012 *)
PROG
(PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(sin(x))/exp(x))) \\ Michel Marcus, Apr 09 2022
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
Definition clarified by Harvey P. Dale, Jun 27 2012
STATUS
approved