A004385 Binomial coefficient C(8n,n-4).

1, 40, 1128, 27720, 635376, 13991544, 300500200, 6348337336, 132601016340, 2747472247520, 56594002961496, 1160681786387760, 23726045489546400, 483774556165488000, 9844971586905715128, 200044340275516722160, 4059949873964357469950, 82320404442262027172208, 1667909437590809932318800

Offset

4,2

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

Links

Table of n, a(n) for n=4..22.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Formula

a(n) ~ 2^(24*n+1) / (7^(7*n+9/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

a[n_] := Binomial[8*n, n-4]; Array[a, 25, 4] (* Amiram Eldar, Sep 09 2025 *)

Prog

(PARI) a(n) = binomial(8*n, n-4); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A071952 A331906 A144914 * A349596 A152257 A229457

Adjacent sequences: A004382 A004383 A004384 * A004386 A004387 A004388

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved