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%I #13 Oct 12 2023 19:26:58
%S 0,1,0,0,3,4,1,0,0,0,8,42,84,76,36,9,1,0,0,0,0,4,48,280,1008,2558,
%T 4480,5088,3664,1744,560,120,16,1,0,0,0,0,0,48,942,8679,49751,198242,
%U 580910,1291636,2219059,2981241,3165764,2687850,1844733,1031824,472021,176158,53082,12650,2300,300,25,1
%N Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of exact spanning probability for site percolation along the second dimension for an n X n 2D triangular lattice with periodic boundary conditions.
%H Stephan Mertens, <a href="https://wasd.urz.uni-magdeburg.de/mertens/research/percolation/">Percolation</a> (Gives first 11 rows)
%e Triangle begins:
%e 0, 1,
%e 0, 0, 2, 3, 1,
%e 0, 0, 0, 8, 42, 84, 76, 36, 9, 1,
%e 0, 0, 0, 0, 4, 48, 280, 1008, 2558, 4480, 5088, 3664, 1744, 560, 120, 16, 1,
%e 0, 0, 0, 0, 0, 48, 942, 8679, 49751, 198242, 580910, 1291636, 2219059, 2981241, 3165764, 2687850, 1844733, 1031824, 472021, 176158, 53082, 12650, 2300, 300, 25, 1,
%e ...
%Y Cf. A365940-A365957, A366463-A366467.
%K nonn,tabf
%O 1,5
%A _N. J. A. Sloane_, Oct 12 2023
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