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Unlabeled super-Catalan numbers: patterns of nonintersecting chords joining unlabeled points on a flippable circle, triangle decomposed by number of chords.
1

%I #6 Jan 20 2014 22:21:15

%S 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,

%T 111,1,4,36,233,776,1349,1124,360,1,5,53,421,1908,4749,6487,4415,1226

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

%C Decomposition of A183758 by number of chords (pairs of parentheses). Row sums are A183758. See A183758 for description.

%C Triangle is

%C 1

%C 1 1

%C 1 2 2

%C 1 2 5 4

%C 1 3 10 18 12

%C 1 3 16 51 71 34

%C ...

%C Right diagonal is apparently A001895.

%Y Decomposition of A183758. Cf. analogous decomposition of super-Catalan numbers in triangle A033282.

%K nonn,tabl

%O 1,5

%A _David Scambler_, Jan 06 2011

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Last modified September 23 10:31 EDT 2024. Contains 376154 sequences. (Running on oeis4.)