OFFSET
1,1
COMMENTS
These are multinomial coefficients.
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..1000
FORMULA
a(n) ~ 2^(8*n+7/2) / (Pi^(3/2) * n^(3/2)). - Vaclav Kotesovec, Oct 19 2014
EXAMPLE
a(2) = 10!/(1!*2!*3!*4!) = 12600.
MATHEMATICA
Table[(4 n + 2)!/((n - 1)! n! (n + 1)! (n + 2)!), {n, 1, 20}]
PROG
(Sage) [factorial(4*n + 2)/(factorial(n - 1)* factorial(n)*factorial(n + 1)*factorial(n + 2)) for n in range(1, 14)] # Stefano Spezia, Aug 16 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 12 2014
STATUS
approved