A391393 Site percolation series for hexagonal 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, -1, -3, -6, -28, -36, -360, -203, -4362, 4626, -54347, 105309

Offset

0,5

Links

Table of n, a(n) for n=0..13.

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 honeycomb site problem in the appendix.

Formula

a(n) = Sum_{k=0..n} A391392(k).

Crossrefs

Cf. A391389, A391391, A391392.

Sequence in context: A085076 A076711 A075088 * A102428 A128056 A068808

Adjacent sequences: A391390 A391391 A391392 * A391394 A391395 A391396

Keyword

sign,more

Author

Pontus von Brömssen, Dec 10 2025

Status

approved