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A355007
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Triangle read by rows. T(n, k) = n^k * |Stirling1(n, k)|.
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1
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1, 0, 1, 0, 2, 4, 0, 6, 27, 27, 0, 24, 176, 384, 256, 0, 120, 1250, 4375, 6250, 3125, 0, 720, 9864, 48600, 110160, 116640, 46656, 0, 5040, 86436, 557032, 1764735, 2941225, 2470629, 823543, 0, 40320, 836352, 6723584, 27725824, 64225280, 84410368, 58720256, 16777216
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OFFSET
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0,5
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LINKS
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FORMULA
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EXAMPLE
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Table T(n, k) begins:
[0] 1;
[1] 0, 1;
[2] 0, 2, 4;
[3] 0, 6, 27, 27;
[4] 0, 24, 176, 384, 256;
[5] 0, 120, 1250, 4375, 6250, 3125;
[6] 0, 720, 9864, 48600, 110160, 116640, 46656;
[7] 0, 5040, 86436, 557032, 1764735, 2941225, 2470629, 823543;
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MAPLE
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seq(seq(n^k*abs(Stirling1(n, k)), k = 0..n), n = 0..9);
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MATHEMATICA
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T[n_, k_] := If[n == k == 0, 1, n^k * Abs[StirlingS1[n, k]]]; Table[T[n, k], {n, 0, 8}, {k, 0, n}] // Flatten (* Amiram Eldar, Jun 17 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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