A001806 a(n) = n! * binomial(n,4). (Formerly M5165 N2242)

24, 600, 10800, 176400, 2822400, 45722880, 762048000, 13172544000, 237105792000, 4452319872000, 87265469491200, 1784975512320000, 38079477596160000, 846536078868480000, 19591263539527680000, 471496409184632832000, 11787410229615820800000

Offset

4,1

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 = 4..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^4/(1-x)^5. - Geoffrey Critzer, Aug 19 2012

Maple

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); # Zerinvary Lajos, Apr 01 2009

Mathematica

Table[n! Binomial[n, 4], {n, 4, 20}] (* T. D. Noe, Aug 10 2012 *)

Prog

(PARI) for(n=4, 30, print1(n!*binomial(n, 4), ", ")) \\ G. C. Greubel, May 17 2018
(Magma) [Factorial(n)*Binomial(n, 4): n in [4..30]]; // G. C. Greubel, May 17 2018

Crossrefs

A column of triangle A021012.

Sequence in context: A055359 A154128 A362513 * A144348 A167870 A358114

Adjacent sequences: A001803 A001804 A001805 * A001807 A001808 A001809

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Ralf Stephan, Jan 09 2004

Status

approved