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%I A369278 #17 Mar 11 2024 23:13:03
%S A369278 1,0,1,0,2,0,6,0,19,2,0,83,29,0,500,353,0,4731,6386,0,75757,185323,0,
%T A369278 2183854,9532714,3
%N A369278 Triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes with burning number k = 1..ceiling(sqrt(n)).
%H A369278 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BurningNumber.html">Burning Number</a>.
%H A369278 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ConnectedGraph.html">Connected Graph</a>.
%e A369278 Triangle begins:
%e A369278   1;
%e A369278   0,       1;
%e A369278   0,       2
%e A369278   0,       6
%e A369278   0,      19,       2;
%e A369278   0,      83,      29;
%e A369278   0,     500,     353;
%e A369278   0,    4731,    6386;
%e A369278   0,   75757,  185323;
%e A369278   0, 2183854, 9532714, 3;
%e A369278   ...
%Y A369278 Row sums are A001349.
%Y A369278 Cf. A263322 (counts for all simple graphs), A369280 (cooling number).
%K A369278 nonn,tabf,more
%O A369278 1,5
%A A369278 _Eric W. Weisstein_, Jan 18 2024

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