A001807 a(n) = n! * binomial(n,5). (Formerly M5380 N2337)

120, 4320, 105840, 2257920, 45722880, 914457600, 18441561600, 379369267200, 8014175769600, 174530938982400, 3926946127104000, 91390746230784000, 2200993805058048000, 54855537910677504000, 1414489227553898496000, 37719712734770626560000

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

T. D. Noe, Table of n, a(n) for n = 5..100

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

Formula

E.g.f.: x^5/(1-x)^6. - Geoffrey Critzer, Aug 19 2012

Maple

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); # Zerinvary Lajos, Apr 01 2009

Mathematica

Table[n! Binomial[n, 5], {n, 5, 20}] (* T. D. Noe, Aug 10 2012 *)

Prog

(Sage) [binomial(n, 5)*factorial (n) for n in range(5, 19)] # Zerinvary Lajos, Jul 07 2009
(PARI) for(n=5, 35, print1(n!*binomial(n, 5), ", ")) \\ G. C. Greubel, May 17 2018
(Magma) [Factorial(n)*Binomial(n, 5): n in [5..35]]; // G. C. Greubel, May 17 2018

Crossrefs

Essentially a column of triangle A021012.

Sequence in context: A179060 A342073 A055360 * A111155 A283344 A223754

Adjacent sequences: A001804 A001805 A001806 * A001808 A001809 A001810

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Ralf Stephan, Jan 09 2004

Status

approved