A002919 High-temperature series for susceptibility for the spin-1/2 Ising model on hexagonal lattice. (Formerly M4162 N1730)

1, 6, 24, 90, 318, 1098, 3696, 12270, 40224, 130650, 421176, 1348998, 4299018, 13635630, 43092888, 135698970, 426144654, 1334488074, 4170038328, 13001153910, 40464412482, 125706293478, 389962873920, 1207855307874, 3736709089176, 11544946664622, 35633199126576

Offset

0,2

Comments

Previous name was: Susceptibility for hexagonal lattice.

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

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..26.

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

M. F. Sykes, D. G. Gaunt, P. D. Roberts and J. A. Wyles, High temperature series for the susceptibility of the Ising model, I. Two dimensional lattices, J. Phys. A 5 (1972) 624-639.

Formula

a(n) = A002910(2*n), cf. A002920. - Andrey Zabolotskiy, Mar 01 2021

Crossrefs

Cf. A002910, A002920, A047709.

Sequence in context: A255474 A249976 A181618 * A006780 A001352 A155602

Adjacent sequences: A002916 A002917 A002918 * A002920 A002921 A002922

Keyword

nonn,nice

Author

N. J. A. Sloane

Extensions

New name and more terms using A002920 from Andrey Zabolotskiy, Mar 03 2021

Status

approved