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

1,5

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.

Links

Table of n, a(n) for n=1..45.

Crossrefs

Decomposition of A183757.

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

Sequence in context: A158909 A199915 A209557 * A101477 A077887 A059379

Adjacent sequences: A183756 A183757 A183758 * A183760 A183761 A183762

Keyword

nonn,tabl,more

Author

David Scambler, Jan 06 2011

Status

approved