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%I #8 Apr 18 2012 15:48:09
%S 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,
%T 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,
%U 18,29,37,4,7,7,1
%N 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).
%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: 1,2,3,7,12,43... (A084423)
%C Row maxima: 1,1,1,2,3,10,30,105,420,1268,6300...
%C Distinct entries per row: 1,1,1,2,3,6,6,13,17,25,25...
%C Rightmost columns are those from the triangle of circular binomial coefficients A047996 without the second column (i.e.triangle A037306).
%H Tilman Piesk, <a href="/A211352/b211352.txt">Rows n=1..11 of triangle, flattened</a>
%H Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Partition_related_number_triangles#rot1">Partition related number triangles</a>
%Y Cf. A211356, A000041, A084423, A047996, A037306.
%K tabf,nonn
%O 1,8
%A _Tilman Piesk_, Apr 09 2012
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