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A004325
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Binomial coefficient C(3n,n-7).
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1
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1, 24, 351, 4060, 40920, 376992, 3262623, 26978328, 215553195, 1677106640, 12777711870, 95722852680, 707285522580, 5166863427600, 37387265592825, 268367258592576, 1913212193400684, 13559593014190944
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OFFSET
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7,2
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REFERENCES
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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.
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LINKS
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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].
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FORMULA
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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)
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MAPLE
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MATHEMATICA
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Table[Binomial[3n, n-7], {n, 7, 30}] (* Harvey P. Dale, Dec 04 2014 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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