|
| |
|
|
A001807
|
|
n! * C(n,5).
(Formerly M5380 N2337)
|
|
2
| |
|
|
120, 4320, 105840, 2257920, 45722880, 914457600, 18441561600, 379369267200, 8014175769600, 174530938982400, 3926946127104000, 91390746230784000, 2200993805058048000, 54855537910677504000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 5,1
|
|
|
COMMENTS
| Coefficients of Laguerre polynomials.
|
|
|
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).
|
|
|
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^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]
|
|
|
PROG
| (Other) sage: [binomial(n, 5)*factorial (n) for n in xrange(5, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 07 2009]
|
|
|
CROSSREFS
| Essentially a column of triangle A021012.
Sequence in context: A000514 A179060 A055360 * A111155 A174686 A140907
Adjacent sequences: A001804 A001805 A001806 * A001808 A001809 A001810
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| More terms from Ralf Stephan, Jan 09 2004
|
| |
|
|
