cp's OEIS Frontend

A002926 Low temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.

%I A002926 M4823 N2064 #42 Aug 31 2025 01:33:47
%S A002926 0,0,1,0,12,-14,135,-276,1520,-4056,17778,-54392,213522,-700362,
%T A002926 2601674,-8836812,31925046,-110323056,393008712,-1369533048,
%U A002926 4844047090,-16947396000,59723296431,-209328634116,736260986208,-2582605180212,9074182912884
%N A002926 Low temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.
%D A002926 C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.
%D A002926 S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
%D A002926 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002926 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%D A002926 C. Vohwinkel, personal communication.
%H A002926 Andrei Zabolotskii, <a href="/A002926/b002926.txt">Table of n, a(n) for n = 1..32</a>
%H A002926 Gyan Bhanot, Michael Creutz, Ivan Horvath, Jan Lacki and John Weckel, <a href="https://doi.org/10.1103/PhysRevE.49.2445">Series expansions without diagrams</a>, Phys. Rev. E, 49 (1994), 2445-2453; arXiv:<a href="https://arxiv.org/abs/hep-lat/9303002">hep-lat/9303002</a>, 1993.
%H A002926 C. Domb, <a href="/A007239/a007239.pdf">Ising model</a>, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
%H A002926 J. W. Essam and M. E. Fisher, <a href="http://dx.doi.org/10.1063/1.1733766">Padé approximant studies of the lattice gas and Ising ferromagnet below the critical point</a>, J. Chem. Phys., 38 (1963), 802-812.
%H A002926 Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/constant/ising/ising.html">Lenz-Ising Constants</a> [broken link]
%H A002926 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 A002926 A. J. Guttmann and I. G. Enting, <a href="https://arxiv.org/abs/hep-lat/9212032">Series studies of the Potts model: I. The simple cubic Ising model</a>, J. Phys. A 26 (1993) 807-821.
%H A002926 Elmar Siepmann, <a href="https://www.uni-muenster.de/imperia/md/content/physik_tp/theses/muenster/siepmann.pdf">Reihenanalysen für das 3-dimensionale Ising-Modell</a>, Westfälische Wilhelms-Universität Münster, 1993. See Eq. (A.13); divide the coefficients by 4 to get this sequence.
%H A002926 M. F. Sykes et al., <a href="https://doi.org/10.1088/0305-4470/6/10/009">Derivation of low-temperature expansions for Ising model VI. Three-dimensional lattices - temperature grouping</a>, J. Phys. A 6 (1973), 1507-1516.
%Y A002926 Cf. A002913 (high temperature series); other quantities: A002915 (antiferromagnetic susceptibility), A002891 (partition function), A002929 (magnetization); other lattices: A002927 (square), A002924 (f.c.c.), A002925 (b.c.c.).
%K A002926 sign,nice,changed
%O A002926 1,5
%A A002926 _N. J. A. Sloane_
%E A002926 Corrections and updates from _Steven Finch_
%E A002926 a(25)-a(27) from Bhanot et al. added by _Andrei Zabolotskii_, Feb 09 2022