OFFSET
0,2
LINKS
Chai Wah Wu, Table of n, a(n) for n = 0..500
FORMULA
a(n+1) = a(n)*2*(n+5)*(2*n+3)/((n+1)*(n+2)). - Chai Wah Wu, Jan 26 2016
G.f.: (1 - 3*x + 6*x^2 - 5*x^3) / (1 - 4*x)^(9/2). - Ilya Gutkovskiy, Nov 17 2021
MAPLE
seq(binomial(2*n+1, n+1)*binomial(n+4, 4), n=0..20); # Zerinvary Lajos, Jan 18 2007
MATHEMATICA
Table[Binomial[2*n + 1, n + 1] * Binomial[n + 4, 4], {n, 0, 30}]
PROG
(Python)
from __future__ import division
A085375_list, b = [], 1
for n in range(501):
A085375_list.append(b)
b = b*2*(n+5)*(2*n+3)//((n+1)*(n+2)) # Chai Wah Wu, Jan 26 2016
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Mario Catalani (mario.catalani(AT)unito.it), Jun 26 2003
STATUS
approved