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 A004325 Binomial coefficient C(3n,n-7). 1
 1, 24, 351, 4060, 40920, 376992, 3262623, 26978328, 215553195, 1677106640, 12777711870, 95722852680, 707285522580, 5166863427600, 37387265592825, 268367258592576, 1913212193400684, 13559593014190944 (list; graph; refs; listen; history; text; internal format)
 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 Sequence in context: A022748 A288968 A269029 * A075621 A293618 A137499 Adjacent sequences: A004322 A004323 A004324 * A004326 A004327 A004328 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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