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A366467
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 nnsquare lattice with periodic boundary conditions.
14
0, 1, 0, 0, 4, 4, 1, 0, 0, 0, 17, 67, 104, 81, 36, 9, 1, 0, 0, 0, 0, 68, 632, 2594, 6168, 9454, 9988, 7618, 4308, 1816, 560, 120, 16, 1, 0, 0, 0, 0, 0, 259, 4351, 34162, 165932, 556667, 1365401, 2539513, 3682167, 4258223, 4001349, 3098369, 1994804, 1071617, 479282, 176976, 53125, 12650, 2300, 300, 25, 1
OFFSET
1,5
COMMENTS
An nnsquare lattice is a square lattice with additional next nearest neighbor links.
LINKS
Stephan Mertens, Percolation (Gives first 22 rows)
EXAMPLE
Triangle begins:
0, 1,
0, 0, 4, 4, 1,
0, 0, 0, 17, 67, 104, 81, 36, 9, 1,
0, 0, 0, 0, 68, 632, 2594, 6168, 9454, 9988, 7618, 4308, 1816, 560, 120, 16, 1,
0, 0, 0, 0, 0, 259, 4351, 34162, 165932, 556667, 1365401, 2539513, 3682167, 4258223, 4001349, 3098369, 1994804, 1071617, 479282, 176976, 53125, 12650, 2300, 300, 25, 1,
...
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Oct 12 2023
STATUS
approved