A002907 - OEIS

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A002907

High temperature series in v = tanh(J/kT) for residual correlation function (correction to susceptibility) for the spin-1/2 Ising model on square lattice.
(Formerly M0391 N0149)

2, 2, 20, 38, 146, 368, 1070, 2824, 7680, 19996, 53024, 136350, 355254, 906254, 2331416, 5909810, 15067236, 37992680, 96210436, 241564514, 608469654, 1522388638, 3818281784, 9525139886, 23806217352, 59237754234, 147621207142, 366533832540, 911151508282

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

Previous name was: Susceptibility for square lattice.

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

Table of n, a(n) for n=0..28.

M. F. Sykes and M. E. Fisher, Antiferromagnetic susceptibility of the plane square and honeycomb Ising lattices, Physica, 28 (1962), 919-938.

FORMULA

G.f.: ((1-3*v)^2*xi(v) - (1-v)^2 + 2*v*u(v)) / (8*v^7*(1+v)^2), where xi(v) is the g.f. of A002906 and u(v) is the g.f. of A002908 (odd powers only!); the actual "residual correlation function" is the numerator of this expression [Sykes & Fisher]. - Andrey Zabolotskiy, Feb 28 2021

CROSSREFS

Cf. A002906, A002908.

Sequence in context: A322898 A009340 A053593 * A350466 A184717 A134046

Adjacent sequences: A002904 A002905 A002906 * A002908 A002909 A002910

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

New name and terms a(10) and beyond from Andrey Zabolotskiy, Feb 28 2021

STATUS

approved