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A322117 Number of non-isomorphic blobs (2-connected weak antichains) of multisets of weight n. 7
1, 1, 3, 4, 8, 8, 21, 27, 79, 185, 554 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Gus Wiseman, Every Clutter Is a Tree of Blobs, The Mathematica Journal, Vol. 19, 2017.

EXAMPLE

Non-isomorphic representatives of the a(1) = 1 through a(6) = 21 blobs:

  (1)  (11)    (111)      (1111)        (11111)          (111111)

       (12)    (122)      (1122)        (11222)          (111222)

       (1)(1)  (123)      (1222)        (12222)          (112222)

               (1)(1)(1)  (1233)        (12233)          (112233)

                          (1234)        (12333)          (122222)

                          (11)(11)      (12344)          (122333)

                          (12)(12)      (12345)          (123333)

                          (1)(1)(1)(1)  (1)(1)(1)(1)(1)  (123344)

                                                         (123444)

                                                         (123455)

                                                         (123456)

                                                         (111)(111)

                                                         (112)(122)

                                                         (122)(122)

                                                         (123)(123)

                                                         (123)(233)

                                                         (134)(234)

                                                         (11)(11)(11)

                                                         (12)(12)(12)

                                                         (12)(13)(23)

                                                         (1)(1)(1)(1)(1)(1)

CROSSREFS

Cf. A002218, A007718, A013922, A275307, A286520, A293994, A304118, A304887, A319719, A319721, A322110, A322118.

Sequence in context: A310016 A030014 A047968 * A181778 A245026 A125219

Adjacent sequences:  A322114 A322115 A322116 * A322118 A322119 A322120

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Nov 26 2018

STATUS

approved

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Last modified August 8 05:50 EDT 2020. Contains 336290 sequences. (Running on oeis4.)