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Search: id:A001807
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| A001807 |
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n! * C(n,5).
(Formerly M5380 N2337)
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+0
2
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| 120, 4320, 105840, 2257920, 45722880, 914457600, 18441561600, 379369267200, 8014175769600, 174530938982400, 3926946127104000, 91390746230784000, 2200993805058048000, 54855537910677504000
(list; graph; listen)
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OFFSET
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5,1
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COMMENT
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Coefficients of Laguerre polynomials.
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REFERENCES
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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.
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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].
Index entries for sequences related to Laguerre polynomials
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MAPLE
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restart: G(x):=x^5/(1-x)^6: 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=5..18); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 01 2009]
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PROGRAM
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(Other) sage: [binomial(n, 5)*factorial (n) for n in xrange(5, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 07 2009]
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CROSSREFS
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Essentially a column of triangle A021012.
Sequence in context: A166596 A000514 A055360 this_sequence A111155 A140907 A072419
Adjacent sequences: A001804 A001805 A001806 this_sequence A001808 A001809 A001810
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Ralf Stephan, Jan 09 2004
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