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A039811
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Triangle read by rows: matrix cube of the Stirling2 triangle A008277.
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7
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1, 3, 1, 12, 9, 1, 60, 75, 18, 1, 358, 660, 255, 30, 1, 2471, 6288, 3465, 645, 45, 1, 19302, 65051, 47838, 12495, 1365, 63, 1, 167894, 728556, 685580, 235193, 35700, 2562, 84, 1, 1606137, 8792910, 10285488, 4444188, 877653, 86940, 4410, 108, 1
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OFFSET
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1,2
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LINKS
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FORMULA
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E.g.f. k-th column: (( exp(exp(exp(x)-1)-1)-1 )^k)/k!. [corrected by Seiichi Manyama, Feb 12 2022]
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EXAMPLE
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Triangle begins
1;
3, 1;
12, 9, 1;
60, 75, 18, 1;
358, 660, 255, 30, 1;
2471, 6288, 3465, 645, 45, 1;
...
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MATHEMATICA
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Flatten[Table[SeriesCoefficient[(Exp[Exp[Exp[x]-1]-1]-1)^k, {x, 0, n}] n!/k!, {n, 9}, {k, n}]] (* Stefano Spezia, Sep 12 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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