A010045 High-temperature expansion of Ising model susceptibility chi_4 for square lattice.

2, 32, 528, 9728, 197568, 4424192, 108461568, 2895515648, 83657776128, 2602257293312, 86733041246208, 3084465770528768, 116595295651135488, 4668952802696364032, 197452751427562242048, 8794599595709419225088, 411518238008892605595648, 20183379315419545025380352

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• P. Butera and M. Pernici, High-temperature expansions of the higher susceptibilities for the Ising model in general dimension d, Phys. Rev. E 86, 011139 (2012); arXiv:1209.3592 [hep-lat], 2012. Appendix A gives chi_4 as a function of K, which is the negated e.g.f. of this sequence at d=2.
• M. Lüscher and P. Weisz, Application of the linked cluster expansion to the n-component phi^4 theory, Nuclear Physics B 300 (1988), 325-359.

Crossrefs

Cf. A010046 (cubic), A010047 (4D cubic), A010039 (chi_2, see also A002906), A010042 (mu_2).

Extensions

Name clarified, a(15)-a(17) using Butera & Pernici's formulas added by Andrey Zabolotskiy, Nov 25 2024