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A134399
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Matrix product of Binomial triangle A007318 and triangle with (1, 1, 2, 3, 4, 5, ...) in the main diagonal and the rest zeros.
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1
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1, 1, 1, 1, 2, 2, 1, 3, 6, 3, 1, 4, 12, 12, 4, 1, 5, 20, 30, 20, 5, 1, 6, 30, 60, 60, 30, 6, 1, 7, 42, 105, 140, 105, 42, 7, 1, 8, 56, 168, 280, 280, 168, 56, 8, 1, 9, 72, 252, 504, 630, 504, 252, 72, 9
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OFFSET
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0,5
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COMMENTS
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Row sums = A005183: (1, 2, 5, 13, 33, 81, 193, ...).
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LINKS
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FORMULA
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T(0,0) = 1; T(n,k) = k*binomial(n,k) for n >= 1.
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EXAMPLE
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First few rows of the triangle:
1;
1, 1;
1, 2, 2;
1, 3, 6, 3;
1, 4, 12, 12, 4;
1, 5, 20, 30, 20, 5;
1, 6, 30, 60, 60, 30, 6;
1, 7, 42, 105, 140, 105, 42, 7;
...
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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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