This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A211353 #8 Apr 18 2012 15:48:40 %S A211353 1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,3,4,6,3,5,1,2,1,1,1,1,3,5,10,5, %T A211353 15,3,5,6,3,1,3,1,1,1,1,4,7,19,10,35,7,19,21,12,4,21,7,7,1,3,4,4,1,1, %U A211353 1,1,1,4,10,28,14,70,14,48,56,28,10 %N A211353 Refined triangle A211357: T(n,k) is the number of noncrossing partitions up to rotation of an n-set that are of type k (k-th integer partition, defined by A194602). %C A211353 The rows are counted from 1, the columns from 0. %C A211353 Row lengths: 1,2,3,5,7,11... (partition numbers A000041) %C A211353 Row sums: 1,2,3,6,10,28... (A054357) %C A211353 Row maxima: 1,1,1,2,2,6,15,35,84,252,630,1542... %C A211353 Distinct entries per row: 1,1,1,2,2,6,6,9,11,17,17,30... %C A211353 Rightmost columns are those from the triangle of circular binomial coefficients A047996 without the second column (i.e.triangle A037306). %H A211353 Tilman Piesk, <a href="/A211353/b211353.txt">Rows n=1..12 of triangle, flattened</a> %H A211353 Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Partition_related_number_triangles#rot1">Partition related number triangles</a> %Y A211353 Cf. A211357, A000041, A054357, A047996, A037306. %K A211353 tabf,nonn %O A211353 1,8 %A A211353 _Tilman Piesk_, Apr 09 2012