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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, 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 (list; table; graph; refs; listen; history; text; internal format)
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

AUTHOR

David Scambler, Jan 06 2011

STATUS

approved

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Last modified October 27 15:27 EDT 2020. Contains 338035 sequences. (Running on oeis4.)