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A001805
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n! * C(n,3).
(Formerly M4291 N1794)
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2
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6, 96, 1200, 14400, 176400, 2257920, 30481920, 435456000, 6586272000, 105380352000, 1780927948800, 31732897996800, 594991837440000, 11716762337280000, 241867451105280000, 5224336943874048000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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COMMENTS
| Coefficients of Laguerre polynomials.
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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. 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
| 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].
Index entries for sequences related to Laguerre polynomials
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MAPLE
| restart: 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); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 01 2009]
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MATHEMATICA
| Table[n!Binomial[n, 3], {n, 3, 30}] (* From Harvey P. Dale, Feb 23 2011 *)
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CROSSREFS
| Essentially a column of triangle A021012.
Sequence in context: A030989 A006044 A202078 * A139743 A156460 A038094
Adjacent sequences: A001802 A001803 A001804 * A001806 A001807 A001808
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Ralf Stephan, Jan 09 2004
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