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A064321
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a(n) = n*(n-1)^3*(n-2)^3*(n-3).
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2
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0, 0, 0, 0, 864, 17280, 144000, 756000, 2963520, 9483264, 26127360, 64152000, 143748000, 298995840, 584648064, 1085142240, 1926288000, 3290112000, 5433384960, 8710395264, 13600573920, 20741616000, 30968784000, 45361118880
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OFFSET
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0,5
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LINKS
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FORMULA
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G.f.: -288*x^4*(3*x^4+33*x^3+68*x^2+33*x+3) / (x-1)^9. - Colin Barker, Sep 14 2014
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EXAMPLE
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a(4) = 4*(3^3)*(2^3)*1 = 4*27*8*1 = 864.
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MAPLE
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MATHEMATICA
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Table[n (n - 3) (n - 1)^3*(n - 2)^3, {n, 0, 50}] (* Wesley Ivan Hurt, Feb 02 2014 *)
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PROG
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(PARI) { for (n=0, 400, write("b064321.txt", n, " ", n*(n - 1)^3*(n - 2)^3*(n - 3)) ) } \\ Harry J. Smith, Sep 11 2009
(PARI) concat([0, 0, 0, 0], Vec(-288*x^4*(3*x^4+33*x^3+68*x^2+33*x+3)/(x-1)^9 + O(x^100))) \\ Colin Barker, Sep 14 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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