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A369072
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Triangle read by rows: T(n, k) = floor(binomial(n, k - 1) * (k - 1)^(k - 1) * n * (n - k + 1)^(n - k) / 2).
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2
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0, 0, 0, 0, 2, 2, 0, 13, 9, 18, 0, 128, 72, 96, 216, 0, 1562, 800, 900, 1350, 3200, 0, 23328, 11250, 11520, 14580, 23040, 56250, 0, 411771, 190512, 183750, 211680, 282240, 459375, 1143072, 0, 8388608, 3764768, 3483648, 3780000, 4587520, 6300000, 10450944, 26353376
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,5
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LINKS
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EXAMPLE
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Triangle starts:
[0] [0]
[1] [0, 0]
[2] [0, 2, 2]
[3] [0, 13, 9, 18]
[4] [0, 128, 72, 96, 216]
[5] [0, 1562, 800, 900, 1350, 3200]
[6] [0, 23328, 11250, 11520, 14580, 23040, 56250]
[7] [0, 411771, 190512, 183750, 211680, 282240, 459375, 1143072]
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MATHEMATICA
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A369072[n_, k_] := Floor[Binomial[n, k-1] If[k == 1, 1, (k-1)^(k-1)] n (n-k+1)^(n-k) / 2];
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PROG
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(SageMath)
return binomial(n, k-1)*(k-1)^(k-1)*n*(n-k+1)^(n-k)//2
for n in range(9): print([A369072(n, k) for k in range(n+1)])
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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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