A004383 Binomial coefficient C(8n,n-2).

1, 24, 496, 9880, 194580, 3819816, 74974368, 1473109704, 28987537150, 571350360240, 11279926456656, 223044792457760, 4416904685676756, 87586833265107120, 1739040916651368000, 34569147570568156800, 687917389635036844569, 13703037308872895467960, 273210744459719114448400

Offset

2,2

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=2..20.

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+5/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-2], {n, 2, 20}] (* Harvey P. Dale, Feb 08 2021 *)

Prog

(PARI) a(n) = binomial(8*n, n-2); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A109143 A260964 A186863 * A112390 A166757 A289833

Adjacent sequences: A004380 A004381 A004382 * A004384 A004385 A004386

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved