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A053508
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a(n) = binomial(n-1,3)*n^(n-4).
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5
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0, 0, 0, 1, 20, 360, 6860, 143360, 3306744, 84000000, 2338460520, 70946979840, 2332989862060, 82726831323136, 3148511132812500, 128071114403348480, 5546563698427324720, 254873089955815096320, 12387799656377835411984
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OFFSET
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1,5
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REFERENCES
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R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Prop. 5.3.2.
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LINKS
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FORMULA
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MATHEMATICA
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Table[Binomial[n-1, 3]n^(n-4), {n, 25}] (* Harvey P. Dale, Jun 17 2014 *)
With[{nmax = 25}, CoefficientList[Series[LambertW[-x]^4/4!, {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Nov 14 2017 *)
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PROG
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(PARI) vector(25, n, 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
(Sage) [binomial(n-1, 3)*n^(n-4) for n in (1..25)] # G. C. Greubel, May 15 2019
(GAP) List([1..25], n-> Binomial(n-1, 3)*n^(n-4)) # G. C. Greubel, May 15 2019
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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