A001806 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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.