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A001805 n! * C(n,3).
(Formerly M4291 N1794)
+0
2
6, 96, 1200, 14400, 176400, 2257920, 30481920, 435456000, 6586272000, 105380352000, 1780927948800, 31732897996800, 594991837440000, 11716762337280000, 241867451105280000, 5224336943874048000 (list; graph; listen)
OFFSET

3,1

COMMENT

Coefficients of Laguerre polynomials.

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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.

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

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]

CROSSREFS

Essentially a column of triangle A021012.

Sequence in context: A055358 A030989 A006044 this_sequence A139743 A156460 A038094

Adjacent sequences: A001802 A001803 A001804 this_sequence A001806 A001807 A001808

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Ralf Stephan, Jan 09 2004

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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