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Search: id:A098505
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| A098505 |
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Numerators in inverse of a Catalan scaled binomial matrix. |
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+0
6
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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
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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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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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}, {1,3,3,1}, {1,2,3,2,1}, {1,5,5,5,5,1},...
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CROSSREFS
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Sequence in context: A107333 A161642 A152141 this_sequence A021306 A125300 A126717
Adjacent sequences: A098502 A098503 A098504 this_sequence A098506 A098507 A098508
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 11 2004
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