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Task/Lah-numbers/Mathematica/lah-numbers.math
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8
Task/Lah-numbers/Mathematica/lah-numbers.math
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ClearAll[Lah]
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Lah[n_?Positive, 0] := 0
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Lah[0, k_?Positive] := 0
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Lah[n_, n_] := 1
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Lah[n_, 1] := n!
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Lah[n_, k_] := (-1)^n (n! ((n - 1)!))/((k! ((k - 1)!)) ((n - k)!))
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Table[Lah[i, j], {i, 0, 12}, {j, 0, 12}] // Grid
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Max[Lah[100, Range[0, 100]]]
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