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A318816 Regular tetrangle where T(n,k,i) is the number of non-isomorphic multiset partitions of length i of multiset partitions of length k of multisets of size n. 0
1, 2, 2, 2, 3, 4, 4, 3, 4, 3, 5, 14, 14, 9, 20, 9, 5, 14, 9, 5, 7, 28, 28, 33, 80, 33, 16, 68, 52, 16, 7, 28, 33, 16, 7, 11, 69, 69, 104, 266, 104, 74, 356, 282, 74, 29, 199, 253, 118, 29, 11, 69, 104, 74, 29, 11, 15, 134, 134, 294, 800, 294, 263, 1427, 1164 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..65.

EXAMPLE

Tetrangle begins:

  1   2     3        5             7

      2 2   4 4     14 14         28 28

            3 4 3    9 20  9      33 80 33

                     5 14  9  5   16 68 52 16

                                   7 28 33 16  7

Non-isomorphic representatives of the T(4,3,2) = 20 multiset partitions:

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

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

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

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

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

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

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

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

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

  {{{2}},{{1},{1,3}}}

  {{{2}},{{3},{1,1}}}

CROSSREFS

Cf. A007716, A050336, A050338, A255906, A269134, A317533, A317791, A318393, A318399, A318564, A318565, A318566.

Sequence in context: A065458 A144000 A306284 * A085202 A096009 A000224

Adjacent sequences:  A318813 A318814 A318815 * A318817 A318818 A318819

KEYWORD

nonn,tabf

AUTHOR

Gus Wiseman, Sep 04 2018

STATUS

approved

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Last modified May 31 09:30 EDT 2020. Contains 334748 sequences. (Running on oeis4.)