

A211354


Refined triangle A211358: T(n,k) is the number of partitions up to rotation and reflection of an nset that are of type k (kth 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, 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
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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: A205107 A228667 A298674 * A211352 A087187 A029380
Adjacent sequences: A211351 A211352 A211353 * A211355 A211356 A211357


KEYWORD

tabf,nonn


AUTHOR

Tilman Piesk, Apr 09 2012


STATUS

approved



