A004326 - OEIS

A004326

Binomial coefficient C(3n,n-8).

1, 27, 435, 5456, 58905, 575757, 5245786, 45379620, 377348994, 3042312350, 23930713170, 184509266760, 1399358844975, 10468434365991, 77413632286320, 566877686933536, 4116305022165108, 29673694525643100, 212566476905162380, 1514334254464231200, 10735998891545372445

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OFFSET

8,2

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 = 8..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 Janjić, Two Enumerative Functions.

FORMULA

D-finite with recurrence -2*(n+4)*(n-8)*(2*n+7)*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+1/2) / (2^(2*n+9) * sqrt(Pi*n)). - Amiram Eldar, Sep 06 2025

MATHEMATICA

Table[Binomial[3*n, n - 8], {n, 8, 30}] (* Paolo Xausa, Jan 13 2025 *)

CROSSREFS

Sequence in context: A307911 A125484 A022751 * A233022 A289902 A395856

Adjacent sequences: A004323 A004324 A004325 * A004327 A004328 A004329

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved