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A053509 a(n) = binomial(n-1,4)*n^(n-5). 6
0, 0, 0, 0, 1, 30, 735, 17920, 459270, 12600000, 372027810, 11824496640, 403786706895, 14772648450560, 577227041015625, 24013333950627840, 1060372471758165020, 49558656380297379840, 2444960458495625410260, 127008768000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

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.: -1/5!*LambertW(-x)^5. - Vladeta Jovovic, Apr 07 2001

MATHEMATICA

Table[Binomial[n - 1, 4]*n^(n - 5), {n, 1, 25}] (* G. C. Greubel, Jan 18 2017 *)

PROG

(PARI) for(n=1, 25, print1(binomial(n-1, 4)*n^(n-5), ", ")) \\ G. C. Greubel, Jan 18 2017

(MAGMA) [Binomial(n-1, 4)*n^(n-5): n in [1..30]]; // G. C. Greubel, Nov 14 2017

CROSSREFS

Cf. A000169, A053506, A053507, A053508.

Sequence in context: A122186 A166840 A166828 * A273435 A259345 A181201

Adjacent sequences:  A053506 A053507 A053508 * A053510 A053511 A053512

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 15 2000

STATUS

approved

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Last modified February 18 17:08 EST 2018. Contains 299325 sequences. (Running on oeis4.)