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%I A308300 #28 Dec 11 2021 04:54:56
%S A308300 1,1,2,4,1,11,1,27,7,1,82,21,4,250,90,21,2,815,334,89,9,1,2685,1311,
%T A308300 391,67,6,9072,4978,1674,324,45,1,30889,19030,7089,1630,275,23,1,
%U A308300 106290,72082,29433,7629,1498,174,11
%N A308300 T(n,k) is the number of simply connected square animals with n cells and k internal vertices (0 <= k <= A083479(n)), triangle read by rows.
%H A308300 John Mason, Table of n, a(n) for n = 1..95, rows 1..18
%H A308300 Elena V. Konstantinova, The constructive enumeration of square animals, POSTECH 10 (2000).
%H A308300 Elena V. Konstantinova and Maxim V. Vidyuk, Discriminating tests of information and topological indices. Animals and trees, J. Chem. Inf. Comput. Sci. 43 (2003), 1860-1871, Table 2.
%e A308300 The table starts:
%e A308300 1;
%e A308300 1;
%e A308300 2;
%e A308300 4, 1;
%e A308300 11, 1;
%e A308300 27, 7, 1;
%e A308300 82, 21, 4;
%e A308300 250, 90, 21, 2;
%e A308300 815, 334, 89, 9, 1;
%e A308300 2685, 1311, 391, 67, 6;
%e A308300 9072, 4978, 1674, 324, 45, 1;
%e A308300 30889, 19030, 7089, 1630, 275, 23, 1;
%e A308300 106290, 72082, 29433, 7629, 1498, 174, 11;
%e A308300 ...
%Y A308300 Cf. A000104 (row sums), A350030 (first column of this sequence).
%K A308300 nonn,tabf
%O A308300 1,3
%A A308300 _R. J. Mathar_, May 19 2019
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