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.

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, 5272, 5414, 3736, 1752, 560, 120, 16, 1, 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

Offset

1,5

Links

Table of n, a(n) for n=1..60.

Stephan Mertens, Percolation (Gives first 22 rows)

Example

Triangle begins:
  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, 5272, 5414, 3736, 1752, 560, 120, 16, 1,
  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,
...

Crossrefs

Cf. A365940-A365957, A366463-A366467.

Sequence in context: A309785 A188668 A366463 * A365948 A365950 A055599

Adjacent sequences: A366463 A366464 A366465 * A366467 A366468 A366469

Keyword

nonn,tabf

Author

N. J. A. Sloane, Oct 12 2023

Status

approved