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A055857 Susceptibility series H_6 for 2-dimensional Ising model (divided by 2). 2
1, 24, 200, 1052, 3994, 12292, 32088, 74320, 155986, 303512, 553520, 958636, 1586554, 2529708, 3900872, 5848984, 8548370, 12224144, 17131328, 23593828, 31968890, 42705180, 56285952, 73313624, 94423970, 120405112, 152074032, 190440188, 236532474, 291620356 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

A. J. Guttmann and I. G. Enting, Solvability of some statistical mechanical systems, Phys. Rev. Lett., 76 (1996), 344-347.

Index entries for linear recurrences with constant coefficients, signature (-1,4,7,-3,-18,-11,19,29,0,-29,-19,11,18,3,-7,-4,1,1).

FORMULA

G.f.: (1+x^18+25*(x+x^17)+220*(x^2+x^16)+1149*(x^3+x^15)+ 4081*(x^4+x^14)+10768*(x^5+x^13)+22083*(x^6+x^12)+36283*(x^7+x^11)+ 48543*(x^8+x^10)+53446*x^9) / (((1-x^3)^3)*((1-x)^4)*(1+x)^5).

PROG

(PARI) Vec((1 +25*x +220*x^2 +1149*x^3 +4081*x^4 +10768*x^5 +22083*x^6 +36283*x^7 +48543*x^8 +53446*x^9 +48543*x^10 +36283*x^11 +22083*x^12 +10768*x^13 +4081*x^14 +1149*x^15 +220*x^16 +25*x^17 +x^18) / ((1 -x)^7*(1 +x)^5*(1 +x +x^2)^3) + O(x^50)) \\ Colin Barker, Dec 10 2016

CROSSREFS

Cf. A054275, A054410, A054389, A054764, A055856.

Sequence in context: A225296 A048355 A132458 * A239574 A223748 A269691

Adjacent sequences:  A055854 A055855 A055856 * A055858 A055859 A055860

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jun 07 2000

STATUS

approved

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Last modified June 19 23:01 EDT 2019. Contains 324222 sequences. (Running on oeis4.)