OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..100
FORMULA
a(n) = Sum_{j=0..(n-1)/2} binomial(n,2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j. - Vladimir Kruchinin, Jun 10 2011
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Sin[x Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 17 2012 *)
PROG
(Maxima)
a(n):=sum(binomial(n, 2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j, j, 0, (n-1)/2); /* Vladimir Kruchinin, Jun 10 2011 */
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved