A004329 Binomial coefficient C(3n,n-11).

1, 36, 741, 11480, 148995, 1712304, 18009460, 177100560, 1652411475, 14783142660, 127805525001, 1074082795968, 8815083648488, 70907466006720, 560658857389200, 4367914309753280, 33594090947249085, 255485622301674660, 1923856105133987325, 14360771909211532200

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

Seiichi Manyama, Table of n, a(n) for n = 11..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].

Milan Janjic, Two Enumerative Functions.

Formula

D-finite with recurrence -2*(n+5)*(n-11)*(2*n+11)*a(n) +3*n*(3*n-1)*(3*n-2)*a(n-1)=0. - R. J. Mathar, Jan 13 2025

a(n) ~ 3^(3*n)/(2^(2*n+12)*sqrt(n*Pi/3)). - Stefano Spezia, Jan 13 2025

Mathematica

Table[Binomial[3*n, n - 11], {n, 11, 30}] (* Paolo Xausa, Jan 13 2025 *)

Crossrefs

Sequence in context: A109405 A064541 A058001 * A089909 A049434 A327509

Adjacent sequences: A004326 A004327 A004328 * A004330 A004331 A004332

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved