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A367274
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a(n) = binomial(n, k) * (n - k)^k where k = floor(n/2).
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1
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1, 1, 2, 6, 24, 90, 540, 2240, 17920, 78750, 787500, 3592512, 43110144, 201885684, 2826399576, 13495173120, 215922769920, 1046465787510, 18836384175180, 92378000000000, 1847560000000000, 9148544655566316, 201267982422458952, 1004605271823089664, 24110526523754151936
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OFFSET
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0,3
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LINKS
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MAPLE
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a := n -> binomial(n, iquo(n, 2))*(n - iquo(n, 2))^iquo(n, 2):
seq(a(n), n = 0..24);
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MATHEMATICA
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A367274[n_]:=If[n==0, 1, With[{k=Floor[n/2]}, Binomial[n, k](n-k)^k]];
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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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