A001407 High temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.

1, 0, 0, 8, 33, 168, 962, 5928, 38907, 268056, 1918938, 14169360, 107333498, 830660688, 6546655404, 52410001448

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• more

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).

Links

• C. Domb and M. F. Sykes, The calculation of lattice constants in crystal statistics, Phil. Mag., 2 (1957), 733ff.
• M. F. Sykes, D. L. Hunter, D. S. McKenzie and B. R. Heap, Specific heat of a three dimensional Ising ferromagnet above the Curie temperature. II, J. Phys. A: Gen. Phys., 5 (1972), 667-673. The power-series part of Eq. (1.3) is the logarithm of the g.f. for this sequence.
• Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A001393, A001406, A002892, A047712, A002918.

Extensions

a(10)-a(14) added and name clarified by Andrey Zabolotskiy, Feb 14 2022

a(15) added using data from A047712 by Andrey Zabolotskiy, Jan 18 2023