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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
OFFSET
1,6
REFERENCES
R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Prop. 5.3.2.
LINKS
FORMULA
E.g.f.: -LambertW(-x)^5/5!. - 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) vector(25, n, 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
(Sage) [binomial(n-1, 4)*n^(n-5) for n in (1..25)] # G. C. Greubel, May 15 2019
(GAP) List([1..25], n-> Binomial(n-1, 4)*n^(n-5)) # G. C. Greubel, May 15 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jan 15 2000
STATUS
approved