OFFSET
0,2
FORMULA
G.f.: c(-x^2)/(1-3xc(-x^2)), c(x) g.f. of Catalan numbers A000108; a(n)=sum{k=0..n, (k+1)C(n, n/2-k/2)(-1)^(n/2-k/2)(1+(-1)^(n+k))3^k/(n+k+2)}.
Conjecture: 3*(n+1)*a(n) -8*(n+1)*a(n-1) +12*(n-2)*a(n-2) +32*(2-n)*a(n-3)=0. - R. J. Mathar, Sep 27 2012
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Dec 05 2003
STATUS
approved