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A098505
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Numerators in inverse of a Catalan scaled binomial matrix.
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5
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1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 35, 35, 7, 7, 1, 1, 4, 14, 28, 7, 28, 14, 4, 1, 1, 9, 18, 42, 63, 63, 42, 18, 9, 1, 1, 5, 45, 30, 105, 63, 105, 30, 45, 5, 1, 1, 11, 55, 165, 165, 33, 33, 165, 165, 55, 11, 1, 1, 3, 33, 55, 495, 198
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OFFSET
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0,8
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COMMENTS
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Row sums are A098506. Diagonal sums are A098507. Second column is A093527. Third column is A098508. Numerators in the inverse of the signed version of A098474, defined by T(n,k)=(-1)^(n-k)binomial(2k,k)binomial(n,k)/(k+1)
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LINKS
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FORMULA
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Triangle T(n, k)=numerator((n+1)binomial(n, k)/binomial(2n, n))
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EXAMPLE
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Rows begin
1;
1,1;
1,1,1;
1,3,3,1;
1,2,3,2,1;
1,5,5,5,5,1;
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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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