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A350269
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Triangle read by rows, T(n, k) = (n - k)!*(n - 1)^k, for 0 <= k <= n.
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3
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1, 1, 0, 2, 1, 1, 6, 4, 4, 8, 24, 18, 18, 27, 81, 120, 96, 96, 128, 256, 1024, 720, 600, 600, 750, 1250, 3125, 15625, 5040, 4320, 4320, 5184, 7776, 15552, 46656, 279936, 40320, 35280, 35280, 41160, 57624, 100842, 235298, 823543, 5764801
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table;
graph;
refs;
listen;
history;
text;
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OFFSET
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0,4
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LINKS
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EXAMPLE
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Triangle starts:
[0] 1
[1] 1, 0
[2] 2, 1, 1
[3] 6, 4, 4, 8
[4] 24, 18, 18, 27, 81
[5] 120, 96, 96, 128, 256, 1024
[6] 720, 600, 600, 750, 1250, 3125, 15625
[7] 5040, 4320, 4320, 5184, 7776, 15552, 46656, 279936
[8] 40320, 35280, 35280, 41160, 57624, 100842, 235298, 823543, 5764801
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MAPLE
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A350269 := (n, k) -> (n - k)!*(n - 1)^k:
seq(seq(A350269(n, k), k = 0..n), n = 0..9);
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MATHEMATICA
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T[n_, k_] := If[n - 1 == k == 0, 1, (n - k)! * (n - 1)^k]; Table[T[n, k], {n, 0, 8}, {k, 0, n}] // Flatten (* Amiram Eldar, Dec 25 2021 *)
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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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