A030047 Low temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.

1, 0, 0, 0, 0, 1, 0, 0, 0, 5, -5, 0, 0, 45, -95, 50, 10, 485, -1640, 1790, -325, 5425, -27510, 47160, -27775, 66567

Offset: 0

Author

Steven Finch

Keywords

• sign
• more

References

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

Links

• G. Bhanot, M. Creutz, I. Horvath, J. Lacki and J. Weckel, Series expansions without diagrams, Phys. Rev. E 49 (1994) 2445; arXiv:hep-lat/9303002, 1993. Eqs. (6)-(7) allow obtaining this power series, Z, from e_j in Table V.
• Steven R. Finch, Lenz-Ising Constants [broken link]
• Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]

Extensions

Missing a(11) = a(12) = 0 inserted, "free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by Andrey Zabolotskiy, Feb 12 2022