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A055856 Susceptibility series H_4 for 2-dimensional Ising model (divided by 2). 2
1, 16, 90, 328, 888, 2016, 3994, 7212, 12070, 19112, 28846, 41976, 59116, 81132, 108738, 142972, 184638, 234952, 294806, 365596, 448296, 544492, 655230, 782292, 926794, 1090716, 1275238, 1482548, 1713880, 1971636, 2257102, 2572896, 2920350, 3302308, 3720138 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

A. J. Guttmann and I. G. Enting, Solvability of some statistical mechanical systems, Phys. Rev. Lett., 76 (1996), 344-347.

A. J. Guttmann, Indicators of solvability for lattice models, Discrete Math., 217 (2000), 167-189.

D. Hansel et al., Analytical properties of the anisotropic cubic Ising model, J. Stat. Phys., 48 (1987), 69-80.

Index entries for linear recurrences with constant coefficients, signature (1,3,-2,-4,0,4,2,-3,-1,1).

FORMULA

G.f.: (1 +15*x +71*x^2 +192*x^3 +326*x^4 +388*x^5 +326*x^6 +192*x^7 + 71*x^8 +15*x^9 +x^10)/((1 -x^3)*((1 -x)^4)*(1 +x)^3).

PROG

(PARI) Vec((1 +15*x +71*x^2 +192*x^3 +326*x^4 +388*x^5 +326*x^6 +192*x^7 + 71*x^8 +15*x^9 +x^10)/((1 -x^3)*((1 -x)^4)*(1 +x)^3) + O(x^40)) \\ Colin Barker, Dec 10 2016

CROSSREFS

Cf. A054275, A054410, A054389, A054764, A055857.

Sequence in context: A253131 A119771 A055920 * A195591 A240292 A050406

Adjacent sequences:  A055853 A055854 A055855 * A055857 A055858 A055859

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jun 07 2000

STATUS

approved

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Last modified October 22 02:46 EDT 2018. Contains 316431 sequences. (Running on oeis4.)