A004336 Binomial coefficient C(4n,n-6).

1, 28, 496, 7140, 91390, 1086008, 12271512, 133784560, 1420494075, 14783142660, 151473214816, 1533058025824, 15363284301456, 152724276564800, 1508152231077400, 14810760713140560, 144773075114710515, 1409563905994360116, 13677886187371180080, 132341572939212267400

Offset

6,2

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

Seiichi Manyama, Table of n, a(n) for n = 6..1000

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 -3*(3*n+5)*(n-6)*(3*n+4)*(n+2)*a(n) + 8*n*(4*n-3)*(2*n-1)*(4*n-1)*a(n-1) = 0. - R. J. Mathar, Mar 19 2025

a(n) ~ 2^(8*n+1/2) / (3^(3*n+13/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 07 2025

Mathematica

Table[Binomial[4n, n-6], {n, 6, 30}] (* Harvey P. Dale, Aug 05 2021 *)

Crossrefs

Sequence in context: A028170 A211677 A076172 * A079598 A212302 A046999

Adjacent sequences: A004333 A004334 A004335 * A004337 A004338 A004339

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved