A004390 Binomial coefficient C(8n,n-9).

1, 80, 3828, 142880, 4598126, 134153712, 3652745460, 94525795200, 2353351951665, 56849199220528, 1340705736329960, 31009757554370400, 705873715441872264, 15855778418084805200, 352208597900888801880, 7749950566825849087296, 169152626591028520278300, 3666277366578757334738880

Offset

9,2

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=9..26.

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+19/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-9], {n, 9, 30}] (* Harvey P. Dale, Feb 03 2016 *)

Prog

(PARI) a(n) = binomial(8*n, n-9); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A196280 A286789 A264372 * A247861 A203171 A076004

Adjacent sequences: A004387 A004388 A004389 * A004391 A004392 A004393

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved