A295482 a(n) = (24*n)!*(9*n)!*(6*n)!*(4*n)!/((18*n)!*(12*n)!*(8*n)!*(3*n)!*(2*n)!).

1, 2622, 18395142, 146893400940, 1239644505129030, 10788772828908810372, 95762108788362083967900, 861689801350732909790930328, 7831988825786019814338666836550, 71735998233558658268051328890615700, 661068900973188409771193653810093715892

Offset

0,2

Links

Table of n, a(n) for n=0..10.

Formula

G.f.: hypergeom([1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24], [1/18, 5/18, 7/18, 1/2, 11/18, 13/18, 17/18], 262144/27*x).

a(n) = binomial(24*n,6*n)*binomial(6*n,3*n)*binomial(4*n,2*n)/(binomial(12*n,3*n)*binomial(8*n,2*n)). - Chai Wah Wu, Feb 17 2026

a(n) ~ 2^(18*n-1) / (sqrt(Pi*n) * 3^(3*n)). - Vaclav Kotesovec, Feb 18 2026

Prog

(Python)
from math import comb
def A295482(n): return comb(24*n, 6*n)*comb(6*n, 3*n)*comb(4*n, 2*n)//(comb(12*n, 3*n)*comb(8*n, 2*n)) # Chai Wah Wu, Feb 17 2026

Crossrefs

Cf. A295431.

Sequence in context: A156398 A139675 A292175 * A236621 A221941 A234698

Adjacent sequences: A295479 A295480 A295481 * A295483 A295484 A295485

Keyword

nonn,easy

Author

Gheorghe Coserea, Nov 28 2017

Status

approved