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A053508 a(n) = binomial(n-1,3)*n^(n-4). 5
0, 0, 0, 1, 20, 360, 6860, 143360, 3306744, 84000000, 2338460520, 70946979840, 2332989862060, 82726831323136, 3148511132812500, 128071114403348480, 5546563698427324720, 254873089955815096320, 12387799656377835411984 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

REFERENCES

R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Prop. 5.3.2.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..250

FORMULA

E.g.f.: 1/4!*LambertW(-x)^4. - Vladeta Jovovic, Apr 07 2001

MATHEMATICA

Table[Binomial[n-1, 3]n^(n-4), {n, 20}] (* Harvey P. Dale, Jun 17 2014 *)

With[{nmax = 40}, CoefficientList[Series[LambertW[-x]^4/4!, {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Nov 14 2017 *)

PROG

(PARI) for(n=1, 25, print1(binomial(n-1, 3)*n^(n-4), ", ")) \\ G. C. Greubel, Jan 18 2017

(MAGMA) [Binomial(n-1, 3)*n^(n-4): n in [1..25]]; // G. C. Greubel, Nov 14 2017

CROSSREFS

Cf. A000169, A053506, A053507, A053509.

Sequence in context: A156455 A089350 A004292 * A060918 A115100 A049683

Adjacent sequences:  A053505 A053506 A053507 * A053509 A053510 A053511

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 15 2000

STATUS

approved

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)