A001408 High temperature series for spin-1/2 Ising specific heat on 3-dimensional simple cubic lattice, divided by 3. (Formerly M4808 N2055)

1, 11, 188, 2992, 51708, 930436, 17127356, 320726028, 6086177116, 116714440696, 2257460877244, 43974184178012, 861732730297212, 16973299816150504, 335797855252698940, 6669051330542560708, 132899989069230881308, 2656406833061149357920, 53239449964640093020476

Offset

0,2

References

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

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

Table of n, a(n) for n=0..18.

G. A. Baker, Further application of the Padé approximant method to the Ising and Heisenberg models, Phys. Rev. 129 (1963) 99-102.

Steven R. Finch, Lenz-Ising Constants [broken link]

Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]

A. J. Guttmann and I. G. Enting, The high-temperature specific heat exponent of the 3-dimensional Ising model, J. Phys. A 27 (1994) 8007-8010.

G. S. Rushbrooke and J. Eve, High-temperature Ising partition function and related noncrossing polygons for the simple cubic lattice, J. Math. Physics 3 (1962) 185-189.

Index entries for sequences related to specific heat

Crossrefs

Equals A002916/3.

Sequence in context: A287062 A215203 A034787 * A298643 A185123 A036936

Adjacent sequences: A001405 A001406 A001407 * A001409 A001410 A001411

Keyword

nonn,nice

Author

N. J. A. Sloane

Extensions

Corrections and updates from Steven Finch

Terms a(13) and beyond from Andrey Zabolotskiy, Feb 15 2022

Status

approved