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A002913 High temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.
(Formerly M4201 N1753)
1, 6, 30, 150, 726, 3510, 16710, 79494, 375174, 1769686, 8306862, 38975286, 182265822, 852063558, 3973784886, 18527532310, 86228667894, 401225368086, 1864308847838, 8660961643254, 40190947325670, 186475398518726, 864404776466406, 4006394107568934, 18554916271112254, 85923704942057238 (list; graph; refs; listen; history; text; internal format)



C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 381.

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

D. S. Gaunt, High temperature series ..., a review of some recent work, in Phase Transitions - Cargese 1980, ed. M. Levy et al., Plenum Press, 1982; pp. 217-246.

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).


Per H. Lundow, Table of n, a(n) for n = 0..25 [a(24), a(25) taken from the Campostrini et al. 2002 article]

P. Butera and M. Comi, N-vector spin models ..., Phys. Rev. B 56 (1997) 8212-8240.

P. Butera and M. Comi, Extension to order b23 of the high-temperature expansions for the spin-1/2 Ising model on the simple-cubic and the body-centered-cubic lattices, BICOCCA/FT-00-09 (June 2000). Phys.Rev. B62 (2000) 14837-14843.

M. Campostrini, Linked-Cluster Expansion of the Ising Model, Journal of Statistical Physics, 103 (2001), 369-394.

M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice, Phys. Rev. E, 65 (2002), 66-127, doi = {10.1103/PhysRevE.65.066127}.

C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)

S. R. Finch, Lenz-Ising Constants

M. E. Fisher and R. J. Burford, Theory of critical point scattering and correlations I: the Ising model, Phys. Rev. 156 (1967), 583-621.

M. F. Sykes, D. G. Gaunt, P. D. Roberts and J. A. Wyles, High temperature series for the susceptibility of the Ising model, II. Three dimensional lattices, J. Phys. A 5 (1972) 640-652.


Sequence in context: A127741 A073965 A214940 * A157519 A075886 A001412

Adjacent sequences:  A002910 A002911 A002912 * A002914 A002915 A002916




N. J. A. Sloane.


Corrections and updates from Steven Finch

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008

Several errors in the sequence were corrected by Per H. Lundow, Jan 17 2011



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Last modified January 22 18:28 EST 2019. Contains 319365 sequences. (Running on oeis4.)