A004386 Binomial coefficient C(8n,n-5).

1, 48, 1540, 41664, 1028790, 24040016, 541931236, 11919192480, 257575523205, 5494563394320, 116068178638776, 2433440563030400, 50718300243156000, 1052134368066259632, 21743950029947469800, 447994468851239444960, 9206887338937200407418, 188819936331035086677600

Offset

5,2

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=5..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+11/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-5], {n, 5, 30}] (* Harvey P. Dale, Jan 12 2016 *)

Prog

(PARI) a(n) = binomial(8*n, n-5); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A264322 A329776 A266160 * A076003 A008845 A273627

Adjacent sequences: A004383 A004384 A004385 * A004387 A004388 A004389

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved