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High temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.
2

%I #22 Jun 30 2022 06:00:48

%S 1,0,10,180,5075,180496

%N High temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.

%D S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.

%H Daniel Andrén, <a href="https://arxiv.org/abs/0706.3116">Series expansion for the density of states of the Ising and Potts models</a>, arXiv:0706.3116 [cond-mat.str-el], 2007.

%H Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/constant/ising/ising.html">Lenz-Ising Constants</a> [broken link]

%H Steven R. Finch, <a href="http://web.archive.org/web/20010207201511/http://www.mathsoft.com:80/asolve/constant/ising/ising.html">Lenz-Ising Constants</a> [From the Wayback Machine]

%H M. E. Fisher and D. S. Gaunt, <a href="https://doi.org/10.1103/PhysRev.133.A224">Ising model and self-avoiding walks on hypercubical lattices and "high-density" expansions</a>, 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.

%Y Cf. A010579 (susceptibility), A010573 (internal energy), A001393 (3D cubic lattice), A030044 (4D cubic lattice).

%K nonn,more

%O 0,3

%A _Steven Finch_

%E "Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by _Andrey Zabolotskiy_, Feb 12 2022

%E 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)