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A283822 Triangle read by rows: T(n,k) (n>=1, 2<=k<=n+1) = number of graphs with n edges, no isolated nodes, and k nodes in largest connected component.

%I A283822 #9 Mar 19 2017 11:55:45
%S A283822 1,1,1,1,2,2,1,3,4,3,1,4,7,8,6,1,6,15,16,19,11,1,7,24,34,44,44,23,1,9,
%T A283822 38,71,97,122,112,47,1,11,61,133,211,295,371,287,106,1,13,90,249,457,
%U A283822 659,1015,1131,763,235
%N A283822 Triangle read by rows: T(n,k) (n>=1, 2<=k<=n+1) = number of graphs with n edges, no isolated nodes, and k nodes in largest connected component.
%H A283822 Peter Steinbach, <a href="/A000664/a000664_1.pdf">Field Guide to Simple Graphs, Volume 4</a>, Part 1 (For Volumes 1, 2, 3, 4 of this book see A000088, A008406, A000055, A000664, respectively.)
%e A283822 Triangle begins:
%e A283822 1,
%e A283822 1,1,
%e A283822 1,2,2,
%e A283822 1,3,4,3,
%e A283822 1,4,7,8,6,
%e A283822 1,6,15,16,19,11,
%e A283822 1,7,24,34,44,44,23,
%e A283822 1,9,38,71,97,122,112,47,
%e A283822 1,11,61,133,211,295,371,287,106,
%e A283822 1,13,90,249,457,659,1015,1131,763,235,
%e A283822 ...
%Y A283822 Row sums are A000664.
%K A283822 nonn,tabl
%O A283822 1,5
%A A283822 _N. J. A. Sloane_, Mar 18 2017