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A211353 Refined triangle A211357: T(n,k) is the number of noncrossing partitions up to rotation 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, 4, 6, 3, 5, 1, 2, 1, 1, 1, 1, 3, 5, 10, 5, 15, 3, 5, 6, 3, 1, 3, 1, 1, 1, 1, 4, 7, 19, 10, 35, 7, 19, 21, 12, 4, 21, 7, 7, 1, 3, 4, 4, 1, 1, 1, 1, 1, 4, 10, 28, 14, 70, 14, 48, 56, 28, 10 (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: 1,2,3,6,10,28... (A054357)

Row maxima: 1,1,1,2,2,6,15,35,84,252,630,1542...

Distinct entries per row: 1,1,1,2,2,6,6,9,11,17,17,30...

Rightmost columns are those from the triangle of circular binomial coefficients A047996 without the second column (i.e.triangle A037306).

LINKS

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

Tilman Piesk, Partition related number triangles

CROSSREFS

Cf. A211357, A000041, A054357, A047996, A037306.

Sequence in context: A124961 A008967 A211355 * A094189 A122771 A217710

Adjacent sequences:  A211350 A211351 A211352 * A211354 A211355 A211356

KEYWORD

tabf,nonn

AUTHOR

Tilman Piesk, Apr 09 2012

STATUS

approved

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Last modified December 6 19:31 EST 2019. Contains 329809 sequences. (Running on oeis4.)