A057389 Low-temperature partition function expansion for hexagonal lattice (Potts model, q=4).

1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 18, -21, 0, 72, 120, -45, -342, 825, 1296, -630, -2832, 3411, 21258, -6624, -40446, 31338, 209676, 97677, -665712, 152427, 2666574, 1655280, -6736512, -5070123, 35432550, 32647365, -83688480, -96328908

Offset

0,7

Comments

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

Links

I. Jensen, Table of n, a(n) for n = 0..60 (from link below)

I. Jensen, More terms

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

Crossrefs

Cf. A057374-A057405.

Sequence in context: A190609 A370146 A325974 * A241668 A377127 A228861

Adjacent sequences: A057386 A057387 A057388 * A057390 A057391 A057392

Keyword

sign

Author

N. J. A. Sloane, Aug 30 2000

Status

approved