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A319056 Number of non-isomorphic multiset partitions of weight n in which (1) all parts have the same size and (2) each vertex appears the same number of times. 46
1, 1, 4, 4, 10, 4, 21, 4, 26, 13, 28, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(p) = 4 for p prime. - Charlie Neder, Oct 15 2018

LINKS

Table of n, a(n) for n=0..11.

EXAMPLE

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

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

       (12)    (123)      (1122)        (12345)          (111222)

       (1)(1)  (1)(1)(1)  (1234)        (1)(1)(1)(1)(1)  (112233)

       (1)(2)  (1)(2)(3)  (11)(11)      (1)(2)(3)(4)(5)  (123456)

                          (11)(22)                       (111)(111)

                          (12)(12)                       (111)(222)

                          (12)(34)                       (112)(122)

                          (1)(1)(1)(1)                   (112)(233)

                          (1)(1)(2)(2)                   (123)(123)

                          (1)(2)(3)(4)                   (123)(456)

                                                         (11)(11)(11)

                                                         (11)(12)(22)

                                                         (11)(22)(33)

                                                         (11)(23)(23)

                                                         (12)(12)(12)

                                                         (12)(13)(23)

                                                         (12)(34)(56)

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

                                                         (1)(1)(1)(2)(2)(2)

                                                         (1)(1)(2)(2)(3)(3)

                                                         (1)(2)(3)(4)(5)(6)

CROSSREFS

Cf.  A007716, A049311, A064573, A279787, A283877, A306017, A316980, A316981, A316983, A319616.

Sequence in context: A255486 A286779 A007426 * A050348 A134637 A078910

Adjacent sequences:  A319053 A319054 A319055 * A319057 A319058 A319059

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Oct 10 2018

STATUS

approved

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Last modified October 16 03:37 EDT 2019. Contains 328040 sequences. (Running on oeis4.)