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Search: id:A098509
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| A098509 |
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Denominators of the inverse of a Catalan scaled binomial matrix. |
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+0
4
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| 1, 1, 1, 2, 1, 2, 5, 5, 5, 5, 14, 7, 7, 7, 14, 42, 42, 21, 21, 42, 42, 132, 22, 44, 33, 44, 22, 132, 429, 429, 143, 429, 429, 143, 429, 429, 1430, 715, 715, 715, 143, 715, 715, 715, 1430, 4862, 4862, 2431, 2431, 2431, 2431, 2431, 2431, 4862, 4862, 16796, 8398
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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First column and main diagonal are A000108. Row sums are A098510. Diagonal sums are A098511. Second column is A098512.
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FORMULA
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Triangle T(n, k)=denominator((n+1)binomial(n, k)/binomial(2n, n))
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EXAMPLE
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Rows begin {1}, {1,1}, {2,1,2}, {5,5,5,5}, {14,7,7,7,14},...
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CROSSREFS
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Cf. A098505, A098474.
Sequence in context: A137327 A143913 A111934 this_sequence A019910 A084309 A047991
Adjacent sequences: A098506 A098507 A098508 this_sequence A098510 A098511 A098512
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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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