OFFSET
0,2
FORMULA
E.g.f.: exp(x + sin(x)).
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..floor((n-1)/2)} (-1)^k * binomial(n-1,2*k) * a(n-2*k-1). - Ilya Gutkovskiy, Apr 10 2022
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Exp[x+Sin[x]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Aug 23 2014 *)
PROG
(PARI) x='x+O('x^66); Vec(serlaplace(exp(x + sin(x)))) /* Joerg Arndt, Sep 01 2012 */
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
Name corrected by Arkadiusz Wesolowski, Sep 01 2012
STATUS
approved