cp's OEIS Frontend

A342590 T(n,k) is the number of connected posets of n unlabeled elements with k covering relations (n>=1, k>=0). Triangle read by rows.

%I A342590 #8 Mar 16 2021 10:11:11
%S A342590 1,0,1,0,0,3,0,0,0,8,2,0,0,0,0,27,12,5,0,0,0,0,0,91,87,45,12,3,0,0,0,
%T A342590 0,0,0,350,532,475,201,71,14,7,0,0,0,0,0,0,0,1376,3272,4298,3197,1565,
%U A342590 554,186,44,16,4,0,0,0,0,0,0,0,0,5743,19396,36664,41706,31931,16972
%N A342590 T(n,k) is the number of connected posets of n unlabeled elements with k covering relations (n>=1, k>=0). Triangle read by rows.
%H A342590 R. J. Mathar, <a href="/A342590/b342590.txt">Table of T(n,k) for n = 1..10</a>
%H A342590 <a href="/index/Pos#posets">Index entries for sequences related to posets</a>
%e A342590 The table starts
%e A342590 1: 1
%e A342590 2: 0 1
%e A342590 3: 0 0 3
%e A342590 4: 0 0 0 8 2
%e A342590 5: 0 0 0 0 27 12   5
%e A342590 6: 0 0 0 0 0  91  87   45   12    3
%e A342590 7: 0 0 0 0 0   0 350  532  475  201   71   14   7
%e A342590 8: 0 0 0 0 0   0   0 1376 3272 4298 3197 1565 554 186 44 16 4
%Y A342590 Cf. A000608 (row sums), A022017 (column sums), A342447 (not necess. connected), A342588 (labeled).
%K A342590 nonn,tabf
%O A342590 1,6
%A A342590 _R. J. Mathar_, Mar 16 2021