A004388 Binomial coefficient C(8n,n-7).

1, 64, 2556, 82160, 2331890, 61124064, 1517381580, 36227890512, 840261910995, 19062702032000, 425067659180736, 9349109217266832, 203360683733321660, 4383507523006256800, 93780365051563029360, 1993750880514035076720, 42162304240385563658385, 887597279624113421939136

Offset

7,2

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=7..24.

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+15/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

a[n_] := Binomial[8*n, n-7]; Array[a, 25, 7] (* Amiram Eldar, Sep 09 2025 *)

Prog

(PARI) a(n) = binomial(8*n, n-7); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A000812 A240363 A239432 * A269291 A203256 A265632

Adjacent sequences: A004385 A004386 A004387 * A004389 A004390 A004391

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved