A004378 Binomial coefficient C(7n,n-10).

1, 77, 3486, 121485, 3612280, 96560646, 2392407864, 56017460733, 1255914977625, 27212042858000, 573658984353378, 11825811462719982, 239315973934897860, 4768545345973022600, 93780365051563029360, 1823828930470225269045, 35130244944412490318355, 671059711334028814434945

Offset

10,2

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=10..27.

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) ~ 7^(7*n+1/2) / (6^(6*n+21/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[7n, n-10], {n, 10, 30}] (* Harvey P. Dale, Apr 15 2012 *)

Prog

(PARI) a(n) = binomial(7*n, n-10); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A017793 A017740 A197193 * A049658 A217455 A116319

Adjacent sequences: A004375 A004376 A004377 * A004379 A004380 A004381

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved