OFFSET
7,2
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
Robert Israel, Table of n, a(n) for n = 7..1209
Milan Janjic, Two Enumerative Functions
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
From Robert Israel, Jan 28 2018: (Start)
E.g.f.: x^7*hypergeom([22/3, 23/3], [11, 23/2], 27*x/4)/5040.
a(n+1) = (3*(3*n+1))*(3*n+2)*(n+1)/((2*(n+4))*(2*n+9)*(n-6))*a(n).
a(n) ~ sqrt(3/(Pi*n))*(27/4)^n/256 (End)
MAPLE
seq(binomial(3*n, n-7), n=7..50); # Robert Israel, Jan 28 2018
MATHEMATICA
Table[Binomial[3n, n-7], {n, 7, 30}] (* Harvey P. Dale, Dec 04 2014 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved