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%I #7 Apr 18 2012 15:49:10
%S 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,
%T 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,
%U 25,4,5,7,1,1,4,7,30,10,76,10,85,76,55
%N 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).
%C The rows are counted from 1, the columns from 0.
%C Row lengths: 1,2,3,5,7,11... (partition numbers A000041)
%C Row sums: 1,2,3,7,12,37... (A084708)
%C Row maxima: 1,1,1,2,3,8,18,57,228,668,3220
%C Distinct entries per row: 1,1,1,2,3,5,8,14,17,26,30
%C Rightmost columns are those from the triangle A052307 without the second column.
%H Tilman Piesk, <a href="/A211354/b211354.txt">Rows n=1..11 of triangle, flattened</a>
%H Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Partition_related_number_triangles#rotref1">Partition related number triangles</a>
%Y Cf. A211358, A000041, A084708, A052307.
%K tabf,nonn
%O 1,8
%A _Tilman Piesk_, Apr 09 2012
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