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.

A321739 Number of non-isomorphic weight-n set multipartitions (multisets of sets) whose part-sizes are also their vertex-degrees.

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%I A321739 #6 Nov 20 2018 12:21:11
%S A321739 1,1,1,2,4,6,12,21,46,94,208
%N A321739 Number of non-isomorphic weight-n set multipartitions (multisets of sets) whose part-sizes are also their vertex-degrees.
%C A321739 Also the number of (0,1) square matrices up to row and column permutations with n ones and no zero rows or columns, with the same multiset of row sums as of column sums.
%C A321739 The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.
%e A321739 Non-isomorphic representatives of the a(1) = 1 through a(6) = 12 set multipartitions:
%e A321739   {1}  {1}{2}  {2}{12}    {12}{12}      {1}{23}{23}      {12}{13}{23}
%e A321739                {1}{2}{3}  {1}{1}{23}    {2}{13}{23}      {3}{23}{123}
%e A321739                           {1}{3}{23}    {3}{3}{123}      {1}{1}{1}{234}
%e A321739                           {1}{2}{3}{4}  {1}{2}{2}{34}    {1}{1}{24}{34}
%e A321739                                         {1}{2}{4}{34}    {1}{2}{34}{34}
%e A321739                                         {1}{2}{3}{4}{5}  {1}{3}{24}{34}
%e A321739                                                          {1}{4}{4}{234}
%e A321739                                                          {2}{4}{12}{34}
%e A321739                                                          {3}{4}{12}{34}
%e A321739                                                          {1}{2}{3}{3}{45}
%e A321739                                                          {1}{2}{3}{5}{45}
%e A321739                                                          {1}{2}{3}{4}{5}{6}
%Y A321739 Cf. A000700, A049311, A057151, A104602, A319056, A320451, A321719, A321721, A321723, A321732, A321734, A321735, A321736, A321854.
%K A321739 nonn,more
%O A321739 0,4
%A A321739 _Gus Wiseman_, Nov 19 2018