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A211352 Refined triangle A211356: T(n,k) is the number of 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, 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 3, 4, 9, 3, 10, 1, 5, 3, 3, 1, 1, 3, 5, 15, 5, 30, 3, 15, 15, 10, 1, 15, 3, 5, 1, 1, 4, 7, 29, 10, 70, 7, 56, 54, 37, 4, 105, 21, 35, 1, 18, 29, 37, 4, 7, 7, 1 (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: 1,2,3,7,12,43... (A084423)

Row maxima: 1,1,1,2,3,10,30,105,420,1268,6300...

Distinct entries per row: 1,1,1,2,3,6,6,13,17,25,25...

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..11 of triangle, flattened

Tilman Piesk, Partition related number triangles

CROSSREFS

Cf. A211356, A000041, A084423, A047996, A037306.

Sequence in context: A228667 A298674 A211354 * A087187 A029380 A298485

Adjacent sequences:  A211349 A211350 A211351 * A211353 A211354 A211355

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.)