A004393 Binomial coefficient C(8n,n-12).

1, 104, 6216, 280840, 10668000, 359933112, 11143364232, 323295330680, 8917061687820, 236236542585120, 6057158960772920, 151175678720167920, 3689062737122341488, 88326646952501966400, 2080775440409128608600, 48339506285032758609456, 1109509547564605420446906, 25198885503098828741238480

Offset

12,2

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=12..29.

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+25/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-12], {n, 12, 30}] (* Harvey P. Dale, Mar 14 2023 *)

Prog

(PARI) a(n) = binomial(8*n, n-12); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A300174 A250668 A035811 * A286329 A164759 A206013

Adjacent sequences: A004390 A004391 A004392 * A004394 A004395 A004396

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved