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A350259
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Triangle read by rows. T(n, k) = n! * BellPolynomial(n, k).
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6
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1, 0, 1, 0, 4, 12, 0, 30, 132, 342, 0, 360, 2256, 7416, 18144, 0, 6240, 54480, 223920, 651360, 1545600, 0, 146160, 1749600, 8892720, 30496320, 82911600, 193030560, 0, 4420080, 71638560, 446357520, 1792405440, 5552593200, 14460979680, 33232948560
(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] 1
[1] 0, 1
[2] 0, 4, 12
[3] 0, 30, 132, 342
[4] 0, 360, 2256, 7416, 18144
[5] 0, 6240, 54480, 223920, 651360, 1545600
[6] 0, 146160, 1749600, 8892720, 30496320, 82911600, 193030560
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MAPLE
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A350259 := (n, k) -> ifelse(n = 0, 1, n! * BellB(n, k)):
seq(seq(A350259(n, k), k = 0..n), n = 0..7);
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MATHEMATICA
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T[n_, k_] := n! BellB[n, k]; Table[T[n, k], {n, 0, 8}, {k, 0, n}] // Flatten
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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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