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A211355 Refined triangle A211359: T(n,k) is the number of noncrossing partitions up to rotation and reflection of an n-set that are of type k (k-th integer partition, defined by A194602). 1
1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 5, 3, 3, 1, 2, 1, 1, 1, 1, 3, 4, 8, 4, 9, 3, 4, 4, 2, 1, 3, 1, 1, 1, 1, 4, 5, 14, 8, 19, 5, 14, 13, 8, 4, 12, 4, 4, 1, 3, 4, 3, 1, 1, 1, 1, 1, 4, 7, 20, 10, 38, 10, 30, 32, 16, 7, 48 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

The rows are counted from 1, the columns from 0.

Row lengths: 1,2,3,5,7,11... (partition numbers A000041)

Row sums: 1,2,3,6,10,24... (A111275)

Row maxima: 1,1,1,2,2,5,9,19,48,132,330,781

Distinct entries per row: 1,1,1,2,2,4,6,9,15,21,28,43

Rightmost columns are those from the triangle A052307  without the second column.

LINKS

Tilman Piesk, Rows n=1..12 of triangle, flattened

Tilman Piesk, Partition related number triangles

CROSSREFS

Cf. A211359, A000041, A111275, A052307.

Sequence in context: A329621 A124961 A008967 * A211353 A094189 A122771

Adjacent sequences:  A211352 A211353 A211354 * A211356 A211357 A211358

KEYWORD

tabf,nonn

AUTHOR

Tilman Piesk, Apr 09 2012

STATUS

approved

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Last modified November 22 03:20 EST 2019. Contains 329383 sequences. (Running on oeis4.)