A002922 Specific heat for diamond.

0, 6, -12, -156, 1680, 21264, -592032, -5349216, 381679872, 1095380736, -384803443200, 2445989918208, 547003852781568

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign
• more

Comments

a(n)/(n!*(-4)^n) must be equal to a_n given in Table 2 of the Oitmaa's paper. Domb & Wood's a(1)-a(7) satisfy this relation, a(8) = -5712096 and a(9) = 390388992 do not. The terms in the Data section are unambiguously retrieved from a_n. The next term a(14) is approximately -10793475537844224. The last given digit of a_8 is probably a typo. - Andrey Zabolotskiy, Jun 18 2022

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 D. Wood, On high-temperature expansions for the Heisenberg model, Proc. Physical Soc., 86 (1965), 1-16.
• J. Oitmaa, Diamond lattice Heisenberg antiferromagnet, J. Phys.: Condens. Matter, 30 (2018), 155801.
• Index entries for sequences related to specific heat

Crossrefs

Cf. A002923, A002165, A002167, A002169.

Extensions

a(8)-a(9) corrected, a(10)-a(13) added by Andrey Zabolotskiy, Jun 18 2022 using Oitmaa's data