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A001805
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a(n) = n! * binomial(n,3).
(Formerly M4291 N1794)
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4
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6, 96, 1200, 14400, 176400, 2257920, 30481920, 435456000, 6586272000, 105380352000, 1780927948800, 31732897996800, 594991837440000, 11716762337280000, 241867451105280000, 5224336943874048000, 117874102296158208000, 2773508289321369600000
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OFFSET
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3,1
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COMMENTS
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Coefficients of Laguerre polynomials.
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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. 799.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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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MAPLE
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G(x):=x^3/(1-x)^4: f[0]:=G(x): for n from 1 to 18 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=3..18); # Zerinvary Lajos, Apr 01 2009
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MATHEMATICA
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Table[n! Binomial[n, 3], {n, 3, 30}] (* Harvey P. Dale, Feb 23 2011 *)
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PROG
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(PARI) for(n=3, 30, print1(n!*binomial(n, 3), ", ")) \\ G. C. Greubel, May 17 2018
(Magma) [Factorial(n)*Binomial(n, 3): n in [3..30]]; // G. C. Greubel, May 17 2018
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CROSSREFS
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Essentially a column of triangle A021012.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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