A004353 Binomial coefficient C(5n,n-11).

1, 60, 2080, 54740, 1215450, 24040016, 437353560, 7471375560, 121550931645, 1902231808400, 28848458598960, 426342151127100, 6166523522157180, 87586833265107120, 1224974031512627000, 16906502128836777600, 230672804560960311000, 3115999030593616524000, 41724662587013999461440

Offset

11,2

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=11..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

D-finite with recurrence -8*(4*n+9)*(2*n+5)*(4*n+11)*(n-11)*(n+2)*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+47/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 08 2025

Mathematica

a[n_] := Binomial[5*n, n-11]; Array[a, 25, 11] (* Amiram Eldar, Sep 08 2025 *)

Prog

(PARI) a(n) = binomial(5*n, n-11); \\ Amiram Eldar, Sep 08 2025

Crossrefs

Sequence in context: A013925 A083367 A173123 * A269284 A004364 A371600

Adjacent sequences: A004350 A004351 A004352 * A004354 A004355 A004356

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved