OFFSET
0,3
REFERENCES
M. Petkovsek et al., A=B, Peters, 1996, p. 97.
LINKS
Reinhard Zumkeller, Table of n, a(n) for n = 0..1000
FORMULA
G.f.: (g-g^2)/(3*g-1)^2 where g*(1-g)^2 = x. - Mark van Hoeij, Nov 09 2011
Recurrence: 8*(n-1)*(2*n-1)*a(n) = 6*(36*n^2-81*n+49)*a(n-1) - 81*(3*n-5)*(3*n-4)*a(n-2). - Vaclav Kotesovec, Nov 19 2012
a(n) ~ 3^(3*n-1)/2^(2*n+1). - Vaclav Kotesovec, Dec 29 2012
MATHEMATICA
Table[Sum[Binomial[3k, k]Binomial[3n-3k-2, n-k-1], {k, 0, n-1}], {n, 0, 30}] (* Harvey P. Dale, Jan 10 2012 *)
PROG
(Haskell)
a036829 n = sum $ map
(\k -> (a007318 (3*k) k) * (a007318 (3*n-3*k-2) (n-k-1))) [0..n-1]
-- Reinhard Zumkeller, May 24 2012
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved