OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..466
FORMULA
a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/2)} (-1)^k * (k+1) * binomial(n,2*k+1) * a(n-2*k-1).
MATHEMATICA
With[{m = 23}, Range[0, m]! * CoefficientList[Series[1/(1 - (Sin[x] + x*Cos[x])/2), {x, 0, m}], x]] (* Amiram Eldar, Mar 26 2022 *)
PROG
(PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(1/(1-(sin(x)+x*cos(x))/2)))
(PARI) a(n) = if(n==0, 1, sum(k=0, (n-1)\2, (-1)^k*(k+1)*binomial(n, 2*k+1)*a(n-2*k-1)));
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Mar 26 2022
STATUS
approved