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A001806 n! * C(n,4).
(Formerly M5165 N2242)
+0
2
24, 600, 10800, 176400, 2822400, 45722880, 762048000, 13172544000, 237105792000, 4452319872000, 87265469491200, 1784975512320000, 38079477596160000, 846536078868480000, 19591263539527680000 (list; graph; listen)
OFFSET

4,1

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^4/(1-x)^5: 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=4..18); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 01 2009]

CROSSREFS

A column of triangle A021012.

Sequence in context: A158637 A055359 A154128 this_sequence A144348 A097192 A126153

Adjacent sequences: A001803 A001804 A001805 this_sequence A001807 A001808 A001809

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 December 10 12:37 EST 2009. Contains 170569 sequences.


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