A010040 High-temperature expansion of Ising model susceptibility chi_2 for cubic lattice.

1, 6, 60, 888, 16944, 403296, 11342400, 371718528, 13814409984, 577113570816, 26660675466240, 1354001083680768, 74774085533159424, 4471493494982516736, 287295290091420794880, 19770508871470350532608, 1448690057046948138123264, 112756550398510017376813056

Offset

0,2

Links

Table of n, a(n) for n=0..17.

M. Lüscher and P. Weisz, Application of the linked cluster expansion to the n-component phi^4 theory, Nuclear Physics B 300 (1988), 325-359.

Formula

E.g.f.: F(tanh(x)), where F(x) is the g.f. of A002913. - Andrey Zabolotskiy, Nov 19 2024

Crossrefs

Cf. A002913, A010039 (square), A010041 (4D cubic), A010043 (mu_2), A010046 (chi_4), A002170 (Heisenberg).

Sequence in context: A000407 A099708 A177191 * A138379 A064815 A331120

Adjacent sequences: A010037 A010038 A010039 * A010041 A010042 A010043

Keyword

nonn,changed

Author

N. J. A. Sloane

Extensions

Name clarified, terms a(15) and beyond using data from A002913 added by Andrey Zabolotskiy, Nov 25 2024

Status

approved