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A366466 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 square lattice with periodic boundary conditions. 1

%I #13 Oct 12 2023 19:27:21

%S 0,1,0,0,2,4,1,0,0,0,3,22,59,67,36,9,1,0,0,0,0,4,60,390,1452,3416,

%T 5272,5414,3736,1752,560,120,16,1,0,0,0,0,0,5,124,1418,9958,48171,

%U 170391,456051,942077,1518133,1917887,1903359,1486308,915643,446538,172749,52871,12650,2300,300,25,1

%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 square lattice with periodic boundary conditions.

%H Stephan Mertens, <a href="https://wasd.urz.uni-magdeburg.de/mertens/research/percolation/">Percolation</a> (Gives first 22 rows)

%e Triangle begins:

%e 0, 1,

%e 0, 0, 2, 4, 1,

%e 0, 0, 0, 3, 22, 59, 67, 36, 9, 1,

%e 0, 0, 0, 0, 4, 60, 390, 1452, 3416, 5272, 5414, 3736, 1752, 560, 120, 16, 1,

%e 0, 0, 0, 0, 0, 5, 124, 1418, 9958, 48171, 170391, 456051, 942077, 1518133, 1917887, 1903359, 1486308, 915643, 446538, 172749, 52871, 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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Last modified July 16 16:26 EDT 2024. Contains 374358 sequences. (Running on oeis4.)