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A183759
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Unlabeled super-Catalan numbers: patterns of nonintersecting chords joining unlabeled points on a circle, triangle decomposed by number of chords.
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1
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1, 1, 1, 1, 2, 3, 1, 2, 7, 7, 1, 3, 15, 33, 22, 1, 3, 24, 94, 136, 66, 1, 4, 41, 218, 525, 552, 217, 1, 4, 57, 440, 1517, 2673, 2233, 715, 1, 5, 86, 804, 3748, 9439, 12917, 8807, 2438
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OFFSET
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1,5
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COMMENTS
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Decomposition of A183757 by number of chords (pairs of parentheses). Row sums are A183757. See A183757 for description.
Triangle is
1
1 1
1 2 3
1 2 7 7
1 3 15 33 22
1 3 24 94 136 66
...
Right diagonal is apparently A007595.
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LINKS
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CROSSREFS
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Cf. analogous decomposition of super-Catalan numbers in triangle A033282.
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KEYWORD
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AUTHOR
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STATUS
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approved
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