A183759 Unlabeled super-Catalan numbers: patterns of nonintersecting chords joining unlabeled points on a circle, triangle decomposed by number of chords.

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

Offset: 1

Author

David Scambler, Jan 06 2011

Keywords

• nonn
• tabl
• more

Comments

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.

Crossrefs

Decomposition of A183757.

Cf. analogous decomposition of super-Catalan numbers in triangle A033282.