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A183760
Unlabeled super-Catalan numbers: patterns of nonintersecting chords joining unlabeled points on a flippable circle, triangle decomposed by number of chords.
1
1, 1, 1, 1, 2, 2, 1, 2, 5, 4, 1, 3, 10, 18, 12, 1, 3, 16, 51, 71, 34, 1, 4, 26, 116, 271, 280, 111, 1, 4, 36, 233, 776, 1349, 1124, 360, 1, 5, 53, 421, 1908, 4749, 6487, 4415, 1226
OFFSET
1,5
COMMENTS
Decomposition of A183758 by number of chords (pairs of parentheses). Row sums are A183758. See A183758 for description.
Triangle is
1
1 1
1 2 2
1 2 5 4
1 3 10 18 12
1 3 16 51 71 34
...
Right diagonal is apparently A001895.
CROSSREFS
Decomposition of A183758. Cf. analogous decomposition of super-Catalan numbers in triangle A033282.
Sequence in context: A215959 A209555 A059594 * A125678 A091562 A106585
KEYWORD
nonn,tabl
AUTHOR
David Scambler, Jan 06 2011
STATUS
approved