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A322118 Number of non-isomorphic 2-connected multiset partitions of weight n with no singletons. 6
1, 1, 2, 3, 7, 11, 29, 55, 155, 386, 1171 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..10.

EXAMPLE

Non-isomorphic representatives of the a(2) = 2 through a(6) = 29 multiset partitions:

  {{1,1}}  {{1,1,1}}  {{1,1,1,1}}    {{1,1,1,1,1}}    {{1,1,1,1,1,1}}

  {{1,2}}  {{1,2,2}}  {{1,1,2,2}}    {{1,1,2,2,2}}    {{1,1,1,2,2,2}}

           {{1,2,3}}  {{1,2,2,2}}    {{1,2,2,2,2}}    {{1,1,2,2,2,2}}

                      {{1,2,3,3}}    {{1,2,2,3,3}}    {{1,1,2,2,3,3}}

                      {{1,2,3,4}}    {{1,2,3,3,3}}    {{1,2,2,2,2,2}}

                      {{1,1},{1,1}}  {{1,2,3,4,4}}    {{1,2,2,3,3,3}}

                      {{1,2},{1,2}}  {{1,2,3,4,5}}    {{1,2,3,3,3,3}}

                                     {{1,1},{1,1,1}}  {{1,2,3,3,4,4}}

                                     {{1,2},{1,2,2}}  {{1,2,3,4,4,4}}

                                     {{2,2},{1,2,2}}  {{1,2,3,4,5,5}}

                                     {{2,3},{1,2,3}}  {{1,2,3,4,5,6}}

                                                      {{1,1},{1,1,1,1}}

                                                      {{1,1,1},{1,1,1}}

                                                      {{1,1,2},{1,2,2}}

                                                      {{1,2},{1,1,2,2}}

                                                      {{1,2},{1,2,2,2}}

                                                      {{1,2},{1,2,3,3}}

                                                      {{1,2,2},{1,2,2}}

                                                      {{1,2,3},{1,2,3}}

                                                      {{1,2,3},{2,3,3}}

                                                      {{1,3,4},{2,3,4}}

                                                      {{2,2},{1,1,2,2}}

                                                      {{2,2},{1,2,2,2}}

                                                      {{2,3},{1,2,3,3}}

                                                      {{3,3},{1,2,3,3}}

                                                      {{3,4},{1,2,3,4}}

                                                      {{1,1},{1,1},{1,1}}

                                                      {{1,2},{1,2},{1,2}}

                                                      {{1,2},{1,3},{2,3}}

CROSSREFS

Cf. A002218, A007718, A013922, A030019, A056156, A275307, A304118, A304382, A304887, A305052, A305079, A321194, A322110, A322117.

Sequence in context: A005479 A120856 A138000 * A323067 A140108 A034295

Adjacent sequences:  A322115 A322116 A322117 * A322119 A322120 A322121

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Nov 26 2018

STATUS

approved

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Last modified August 11 23:45 EDT 2020. Contains 336434 sequences. (Running on oeis4.)