A004352 Binomial coefficient C(5n,n-10).

1, 55, 1770, 43680, 916895, 17259390, 300500200, 4935847320, 77515521435, 1174992339235, 17310309456440, 249145778809200, 3517322746798575, 48857840214014580, 669413654240461560, 9064807833193439800, 121515484051014339000, 1614709631926722177000, 21292660042389712914000

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..28.

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

D-finite with recurrence -8*(4*n+7)*(2*n+5)*(4*n+9)*(n+2)*(n-10)*a(n) + 5*n*(5*n-4)*(5*n-3)*(5*n-2)*(5*n-1)*a(n-1) = 0. - R. J. Mathar, Mar 19 2025

a(n) ~ 5^(5*n+1/2) / (2^(8*n+43/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 08 2025

Mathematica

Table[Binomial[5n, n-10], {n, 10, 30}] (* Harvey P. Dale, Mar 19 2016 *)

Prog

(PARI) a(n) = binomial(5*n, n-10); \\ Amiram Eldar, Sep 08 2025

Crossrefs

Sequence in context: A215770 A320823 A166833 * A163722 A321034 A275942

Adjacent sequences: A004349 A004350 A004351 * A004353 A004354 A004355

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved