A010047
High-temperature expansion of Ising model susceptibility chi_4 for 4-d cubic lattice.
Original entry on oeis.org
2, 64, 2336, 99328, 4840832, 267080704, 16467255296, 1123220758528, 83995566282752, 6835730843582464, 601493660302278656, 56912420061511548928, 5762378580637148905472, 621705383408527748890624, 71206666963479522492809216
Offset: 0
A010556
High temperature series for spin-1/2 Ising magnetic susceptibility on 4D simple cubic lattice.
Original entry on oeis.org
1, 8, 56, 392, 2696, 18536, 126536, 863720, 5873768, 39942184, 271009112, 1838725896, 12457092504, 84392312392, 571140732808, 3865210690888, 26138072412040, 176752645426600, 1194553221342296, 8073068110703880, 54534614510976680
Offset: 0
- S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
- 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.
- Steven R. Finch, Lenz-Ising Constants [broken link]
- Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]
- M. E. Fisher and D. S. Gaunt, Ising model and self-avoiding walks on hypercubical lattices and high density expansions, Phys. Rev. 133 (1964), A224-A239.
- D. S. Gaunt, M. F. Sykes and S. McKenzie, Susceptibility and fourth-field derivative of the spin-1/2 Ising model for T > T_c and d = 4, J. Phys. A 12 (1979), 871-877.
- M. A. Moore, Critical behavior of the four-dimensional Ising ferromagnet and the breakdown of scaling, Phys. Rev. B 1 (1970), 2238-2240.
a(17) corrected (was 176752645540264), a(18)-a(20) added using Butera & Pernici's formulas by
Andrey Zabolotskiy, Aug 08 2022
A010041
High-temperature expansion of Ising model susceptibility chi_2 for 4-d cubic lattice.
Original entry on oeis.org
1, 8, 112, 2336, 63808, 2177408, 88532992, 4198893056, 226756461568, 13774782507008, 927722457014272, 68724458864869376, 5545864378385072128, 484804579241630302208, 45594217495265300119552, 4594089494167496649015296, 493393425754870454072639488, 56299361591526976658442027008
Offset: 0
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