A391391 Site percolation series for triangular lattice: coefficients of the power series expansion in powers of q=1-p of the probability that a given open site belongs to the infinite cluster, where p is the probability that a site is open.

1, 0, 0, 0, 0, 0, -1, 0, -6, 0, -27, 6, -111, 72, -534, 638, -2868, 5004, -17408, 36162, -106035, 233190, -626439

Offset

0,9

Links

Table of n, a(n) for n=0..22.

M. F. Sykes, D. S. Gaunt and M. Glen, Percolation processes in two dimensions. III. High density series expansions, Journal of Physics A: Mathematical and General 9 (1976), 715-724. See coefficients for expansion of P(p) for triangular site problem in the appendix.

Formula

a(n) = Sum_{k=0..n} A391390(k).

Crossrefs

Cf. A391389, A391390, A391393.

Sequence in context: A064381 A062254 A028849 * A395952 A287470 A138704

Adjacent sequences: A391388 A391389 A391390 * A391392 A391393 A391394

Keyword

sign,more

Author

Pontus von Brömssen, Dec 10 2025

Status

approved