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1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 2, 1, 1, 3, 6, 6, 3, 1, 1, 4, 12, 12, 12, 4, 1, 1, 5, 20, 30, 30, 20, 5, 1, 1, 6, 30, 60, 90, 60, 30, 6, 1, 1, 8, 48, 120, 240, 240, 120, 48, 8, 1, 1, 10, 80, 240, 600, 800, 600, 240, 80, 10, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,8
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COMMENTS
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Row sums are 1, 2, 3, 6, 10, 20, 46, 112, 284, 834, 2662, ... .
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
1;
1, 1;
1, 1, 1;
1, 2, 2, 1;
1, 2, 4, 2, 1;
1, 3, 6, 6, 3, 1;
1, 4, 12, 12, 12, 4, 1;
1, 5, 20, 30, 30, 20, 5, 1;
1, 6, 30, 60, 90, 60, 30, 6, 1;
1, 8, 48, 120, 240, 240, 120, 48, 8, 1;
1, 10, 80, 240, 600, 800, 600, 240, 80, 10, 1;
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MATHEMATICA
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c[n_] := Product[PartitionsQ[m], {m, 1, n}];
t[n_, m_] := c[n]/(c[m]*c[n - m]);
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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