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, 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

Author

David Scambler, Jan 06 2011

Keywords

• nonn
• tabl

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.