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.

A321401 Number of non-isomorphic strict self-dual multiset partitions of weight n.

This page as a plain text file.
%I A321401 #5 Nov 13 2018 12:54:05
%S A321401 1,1,2,4,7,14,29,57,117,240,498
%N A321401 Number of non-isomorphic strict self-dual multiset partitions of weight n.
%C A321401 Also the number of nonnegative integer symmetric matrices up to row and column permutations with sum of elements equal to n and no zero rows or columns, in which the rows (or columns) are all different.
%C A321401 The dual of a multiset partition has, for each vertex, one part consisting of the indices (or positions) of the parts containing that vertex, counted with multiplicity. For example, the dual of {{1,2},{2,2}} is {{1},{1,2,2}}.
%e A321401 Non-isomorphic representatives of the a(1) = 1 through a(5) = 14 multiset partitions:
%e A321401   {{1}}  {{1,1}}    {{1,1,1}}      {{1,1,1,1}}        {{1,1,1,1,1}}
%e A321401          {{1},{2}}  {{1},{2,2}}    {{1,1},{2,2}}      {{1,1},{1,2,2}}
%e A321401                     {{2},{1,2}}    {{1},{2,2,2}}      {{1,1},{2,2,2}}
%e A321401                     {{1},{2},{3}}  {{2},{1,2,2}}      {{1,2},{1,2,2}}
%e A321401                                    {{1},{2},{3,3}}    {{1},{2,2,2,2}}
%e A321401                                    {{1},{3},{2,3}}    {{2},{1,2,2,2}}
%e A321401                                    {{1},{2},{3},{4}}  {{1},{2,2},{3,3}}
%e A321401                                                       {{1},{2},{3,3,3}}
%e A321401                                                       {{1},{3},{2,3,3}}
%e A321401                                                       {{2},{1,2},{3,3}}
%e A321401                                                       {{2},{1,3},{2,3}}
%e A321401                                                       {{1},{2},{3},{4,4}}
%e A321401                                                       {{1},{2},{4},{3,4}}
%e A321401                                                       {{1},{2},{3},{4},{5}}
%Y A321401 Cf. A000219, A007716, A045778, A059201, A316980, A316983, A319560, A319616.
%Y A321401 Cf. A320796, A320797, A321402, A321405, A321406, A321407.
%K A321401 nonn,more
%O A321401 0,3
%A A321401 _Gus Wiseman_, Nov 09 2018