A030048 High temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.
1, 0, 10, 180, 5075, 180496
Offset: 0
References
- S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
Links
- Daniel Andrén, Series expansion for the density of states of the Ising and Potts models, arXiv:0706.3116 [cond-mat.str-el], 2007.
- Steven R. Finch, Lenz-Ising Constants [broken link]
- Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]
- M. E. Fisher and D. S. Gaunt, Ising model and self-avoiding walks on hypercubical lattices and "high-density" expansions, Phys. Rev. 133 (1964) A224-A239. See p. A226, in particular Eq. (2.11) (together with Eq. (4.10)), for the power series with coefficients g_n, which is the logarithm of this power series, and its physical and combinatorial interpretations.
Crossrefs
Extensions
"Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by Andrey Zabolotskiy, Feb 12 2022
a(5) added by Andrey Zabolotskiy, Jun 30 2022 using Andrén's data (see his Table 4, column b_n^5 for the coefficients of the expansion of the logarithm of the g.f. of this sequence)