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A321254
Regular triangle where T(n,k) is the number of non-isomorphic connected multiset partitions of weight n with multiset density -1 <= k <= n-2.
8
1, 3, 0, 6, 0, 0, 16, 1, 0, 0, 37, 3, 0, 0, 0, 105, 18, 2, 0, 0, 0, 279, 68, 7, 0, 0, 0, 0, 817, 293, 46, 3, 0, 0, 0, 0, 2387, 1141, 228, 17, 1, 0, 0, 0, 0, 7269, 4511, 1189, 135, 9, 0, 0, 0, 0, 0
OFFSET
1,2
COMMENTS
The multiset density of a multiset partition is the sum of the numbers of distinct vertices in each part minus the number of parts minus the number of vertices.
EXAMPLE
Triangle begins:
1
3 0
6 0 0
16 1 0 0
37 3 0 0 0
105 18 2 0 0 0
279 68 7 0 0 0 0
817 293 46 3 0 0 0 0
2387 1141 228 17 1 0 0 0 0
7269 4511 1189 135 9 0 0 0 0 0
CROSSREFS
First column is A321229. Row sums are A007718.
Sequence in context: A099892 A060147 A268142 * A262605 A092731 A348080
KEYWORD
nonn,tabl
AUTHOR
Gus Wiseman, Nov 01 2018
STATUS
approved