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URL: https://oeis.org/A295479

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A295479
a(n) = (24*n)!*(4*n)!*n!/((12*n)!*(8*n)!*(7*n)!*(2*n)!).
3
1, 76488984, 36856530424884600, 20728451893251973782071160, 12401082728528113445556802226795640, 7671567513095586883562392061857092727662984, 4846567811298033077517533116990723918586593960411800, 3106360084464723603791702457062194851072644408605122994989000
OFFSET
0,2
FORMULA
G.f.: hypergeom([1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24], [1/7, 2/7, 3/7, 1/2, 4/7, 5/7, 6/7], 570630428688384/823543*x).
a(n) = binomial(24*n,12*n)*binomial(12*n,4*n)*binomial(4*n,n)/(binomial(7*n,3*n)*binomial(2*n,n)). - Chai Wah Wu, Feb 17 2026
a(n) ~ 2^(30*n-1) * 3^(12*n) / (7^(7*n+1/2) * sqrt(Pi*n)). - Amiram Eldar, Feb 21 2026
MATHEMATICA
a[n_] := (24*n)!*(4*n)!*n!/((12*n)!*(8*n)!*(7*n)!*(2*n)!); Array[a, 10, 0] (* Amiram Eldar, Feb 21 2026 *)
PROG
(Python)
from math import comb
def A295479(n): return comb(24*n, 12*n)*comb(12*n, 4*n)*comb(4*n, n)//(comb(7*n, 3*n)*comb(2*n, n)) # Chai Wah Wu, Feb 17 2026
CROSSREFS
Cf. A295431.
Sequence in context: A186535 A244924 A210319 * A203825 A109178 A178556
KEYWORD
nonn,easy
AUTHOR
Gheorghe Coserea, Nov 28 2017
STATUS
approved