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%I #6 Nov 01 2018 18:22:41
%S 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,
%T 293,46,3,0,0,0,0,2387,1141,228,17,1,0,0,0,0,7269,4511,1189,135,9,0,0,
%U 0,0,0
%N 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.
%C 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.
%e Triangle begins:
%e 1
%e 3 0
%e 6 0 0
%e 16 1 0 0
%e 37 3 0 0 0
%e 105 18 2 0 0 0
%e 279 68 7 0 0 0 0
%e 817 293 46 3 0 0 0 0
%e 2387 1141 228 17 1 0 0 0 0
%e 7269 4511 1189 135 9 0 0 0 0 0
%Y First column is A321229. Row sums are A007718.
%Y Cf. A007716, A317672, A321155, A321194, A321253, A321255, A321256.
%K nonn,tabl
%O 1,2
%A _Gus Wiseman_, Nov 01 2018
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