cp's OEIS Frontend

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.

A318816 Regular tetrangle where T(n,k,i) is the number of non-isomorphic multiset partitions of length i of multiset partitions of length k of multisets of size n.

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%I A318816 #5 Sep 05 2018 17:15:09
%S A318816 1,2,2,2,3,4,4,3,4,3,5,14,14,9,20,9,5,14,9,5,7,28,28,33,80,33,16,68,
%T A318816 52,16,7,28,33,16,7,11,69,69,104,266,104,74,356,282,74,29,199,253,118,
%U A318816 29,11,69,104,74,29,11,15,134,134,294,800,294,263,1427,1164
%N A318816 Regular tetrangle where T(n,k,i) is the number of non-isomorphic multiset partitions of length i of multiset partitions of length k of multisets of size n.
%e A318816 Tetrangle begins:
%e A318816   1   2     3        5             7
%e A318816       2 2   4 4     14 14         28 28
%e A318816             3 4 3    9 20  9      33 80 33
%e A318816                      5 14  9  5   16 68 52 16
%e A318816                                    7 28 33 16  7
%e A318816 Non-isomorphic representatives of the T(4,3,2) = 20 multiset partitions:
%e A318816   {{{1}},{{1},{1,1}}}  {{{1,1}},{{1},{1}}}
%e A318816   {{{1}},{{1},{1,2}}}  {{{1,1}},{{1},{2}}}
%e A318816   {{{1}},{{1},{2,2}}}  {{{1,1}},{{2},{2}}}
%e A318816   {{{1}},{{1},{2,3}}}  {{{1,1}},{{2},{3}}}
%e A318816   {{{1}},{{2},{1,1}}}  {{{1,2}},{{1},{1}}}
%e A318816   {{{1}},{{2},{1,2}}}  {{{1,2}},{{1},{2}}}
%e A318816   {{{1}},{{2},{1,3}}}  {{{1,2}},{{1},{3}}}
%e A318816   {{{1}},{{2},{3,4}}}  {{{1,2}},{{3},{4}}}
%e A318816   {{{2}},{{1},{1,1}}}  {{{2,3}},{{1},{1}}}
%e A318816   {{{2}},{{1},{1,3}}}
%e A318816   {{{2}},{{3},{1,1}}}
%Y A318816 Cf. A007716, A050336, A050338, A255906, A269134, A317533, A317791, A318393, A318399, A318564, A318565, A318566.
%K A318816 nonn,tabf
%O A318816 1,2
%A A318816 _Gus Wiseman_, Sep 04 2018