cp's OEIS Frontend

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.

%I A321254 #6 Nov 01 2018 18:22:41
%S A321254 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 A321254 293,46,3,0,0,0,0,2387,1141,228,17,1,0,0,0,0,7269,4511,1189,135,9,0,0,
%U A321254 0,0,0
%N 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.
%C A321254 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 A321254 Triangle begins:
%e A321254      1
%e A321254      3    0
%e A321254      6    0    0
%e A321254     16    1    0    0
%e A321254     37    3    0    0    0
%e A321254    105   18    2    0    0    0
%e A321254    279   68    7    0    0    0    0
%e A321254    817  293   46    3    0    0    0    0
%e A321254   2387 1141  228   17    1    0    0    0    0
%e A321254   7269 4511 1189  135    9    0    0    0    0    0
%Y A321254 First column is A321229. Row sums are A007718.
%Y A321254 Cf. A007716, A317672, A321155, A321194, A321253, A321255, A321256.
%K A321254 nonn,tabl
%O A321254 1,2
%A A321254 _Gus Wiseman_, Nov 01 2018