OFFSET
0,4
EXAMPLE
E.g.f.: exp(x)/(1 - x^3/3!) = 1 + x + 1*x^2/2! + 2*x^3/3! + 5*x^4/4! + 11*x^5/5! + 41*x^6/6! + ... + a(n)*x^n/n! + ...
where a(n) = 1 + n*(n-1)*(n-2)*a(n-3)/3!.
MAPLE
restart: G(x):=2*exp(-x)/(x^3/3!+1): f[0]:=G(x): for n from 1 to 26 do f[n]:=diff(-f[n-1], x) od: x:=0: seq(f[n]/2, n=0..23); # Zerinvary Lajos, Apr 03 2009
PROG
(PARI) a(n)=n!*polcoeff(exp(x+x*O(x^n))/(1-x^3/3! +x*O(x^n)), n)
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 20 2007
STATUS
approved