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%I M2293 N0906 #30 Jun 30 2022 06:00:59
%S 1,0,0,1,0,3,-3,15,-30,101,-261,807,-2308,7065,-21171,65337,-200934,
%T 627249,-1962034,6192066,-19610346,62482527,-199807110,641837193,
%U -2068695927,6691611633,-21710041944,70645706963,-230488840446,753903842400,-2471624380458,8120879664294,-26736570257010
%N Low temperature series for spin-1/2 Ising partition function on 3-dimensional simple cubic lattice.
%D S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%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 A. J. Guttmann and I. G. Enting, <a href="https://doi.org/10.1088/0305-4470/26/4/010">Series studies of the Potts model: I. The simple cubic Ising model</a>, J. Phys. A 26 (1993) 807-821; arXiv:<a href="https://arxiv.org/abs/hep-lat/9212032">hep-lat/9212032</a>, 1992.
%H A. J. Wakefield, Statistics of the simple cubic lattice, Proc. Cambridge Philos. Soc. 47 (1951) <a href="https://doi.org/10.1017/S0305004100026761">419-435</a> and <a href="https://doi.org/10.1017/S0305004100027249">799-810</a>.
%Y Cf. A002926 (ferromagnetic susceptibility), A002915 (antiferromagnetic susceptibility), A001393 (high-temperature), A002890 (square lattice), A002892 (f.c.c. lattice), A030045 (4D cubic), A030047 (5D cubic).
%K sign
%O 0,6
%A _N. J. A. Sloane_, C. Vohwinkel
%E Corrections and updates from _Steven Finch_
%E "Free energy" changed back to "partition function" (basically the exponential of the free energy) in the name by _Andrey Zabolotskiy_, Feb 12 2022
%E a(28)-a(32) added by _Andrey Zabolotskiy_, Jun 30 2022 using Andrén's data (see his Table 2, column a_n for the coefficients of the expansion of the logarithm of the g.f. of this sequence)
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