A211354 Refined triangle A211358: T(n,k) is the number of 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, 2, 1, 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 3, 3, 8, 3, 6, 1, 5, 3, 3, 1, 1, 3, 4, 12, 4, 18, 3, 11, 9, 7, 1, 12, 3, 4, 1, 1, 4, 5, 22, 8, 38, 5, 39, 33, 25, 4, 57, 12, 19, 1, 17, 22, 25, 4, 5, 7, 1, 1, 4, 7, 30, 10, 76, 10, 85, 76, 55

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: 1,2,3,7,12,37... (A084708)

Row maxima: 1,1,1,2,3,8,18,57,228,668,3220

Distinct entries per row: 1,1,1,2,3,5,8,14,17,26,30

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

Links

Tilman Piesk, Rows n=1..11 of triangle, flattened

Tilman Piesk, Partition related number triangles

Crossrefs

Cf. A211358, A000041, A084708, A052307.

Sequence in context: A228667 A336005 A298674 * A211352 A087187 A029380

Adjacent sequences: A211351 A211352 A211353 * A211355 A211356 A211357

Keyword

tabf,nonn

Author

Tilman Piesk, Apr 09 2012

Status

approved