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A093421
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Triangle read by rows: T(n,k) is the denominator of f(n, k) = (Product_{i = 0..k-1} (n-i))/(Sum_{i = 1..k} i) for 1 <= k <= n.
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3
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1, 1, 3, 1, 1, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
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OFFSET
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1,3
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LINKS
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FORMULA
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T(n,n) = denominator(f(n, n)) = denominator(2*(n-1)!/(n+1)).
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EXAMPLE
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Triangle T(n,k) (with rows n >= 1 and columns k >= 1) begins as follows:
1;
1, 3;
1, 1, 1;
1, 1, 1, 5;
1, 3, 1, 1, 1;
1, 1, 1, 1, 1, 7;
1, 1, 1, 1, 1, 1, 1;
1, 3, 1, 1, 1, 1, 1, 1;
1, 1, 1, 5, 1, 1, 1, 1, 1;
1, 1, 1, 1, 1, 1, 1, 1, 1, 11;
...
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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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