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A328826
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Triangle read by rows: binomial(n,k)*(2*n-k)!, n>=0, 0<=k<=n.
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4
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1, 2, 1, 24, 12, 2, 720, 360, 72, 6, 40320, 20160, 4320, 480, 24, 3628800, 1814400, 403200, 50400, 3600, 120, 479001600, 239500800, 54432000, 7257600, 604800, 30240, 720, 87178291200, 43589145600, 10059033600, 1397088000, 127008000, 7620480, 282240, 5040, 20922789888000
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OFFSET
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0,2
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COMMENTS
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Vertex-labeled disconnected Goldstone diagrams with n vertices and k single-particle potentials.
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LINKS
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FORMULA
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T(n,k)= binomial(n,k)*(2*n-k)!.
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EXAMPLE
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The triangle starts
1;
2 1;
24 12 2;
720 360 72 6;
40320 20160 4320 480 24;
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MAPLE
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binomial(n, k)*(2*n-k)! ;
end proc:
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MATHEMATICA
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Table[Binomial[n, k](2n-k)!, {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Feb 03 2022 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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