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A002928 Magnetization for square lattice.
(Formerly M1853 N0733)
5
1, 0, -2, -8, -34, -152, -714, -3472, -17318, -88048, -454378, -2373048, -12515634, -66551016, -356345666, -1919453984, -10392792766, -56527200992, -308691183938, -1691769619240, -9301374102034 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
REFERENCES
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).
J. M. Yeomans, Statistical mechanics of phase transitions, Oxford Univ. Press, 1992, p. 93.
LINKS
C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
David Park, A summation method for crystal statistics, Physica 22 (1956), 932-940.
FORMULA
n*a(n) + 6*(-n+1)*a(n-1) + 4*a(n-2) + 6*(n-3)*a(n-3) + (-n+4)*a(n-4) = 0. - R. J. Mathar, Mar 08 2013
MAPLE
series((1+x)^(1/4)*(1-6*x+x^2)^(1/8)/(1-x)^(1/2), x, 40).
CROSSREFS
Cf. other structures: A007206, A007207, A002929, A002930, A003193, A003196.
Cf. Potts model: A057374, A057378.
Cf. A002927 (susceptibility).
Sequence in context: A150890 A150891 A074606 * A150892 A150893 A235038
KEYWORD
sign,easy
AUTHOR
STATUS
approved

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Last modified March 29 02:13 EDT 2024. Contains 371264 sequences. (Running on oeis4.)