Spiral self-avoiding walks on a triangular lattice

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, , Citation K Y Lin 1985 J. Phys. A: Math. Gen. 18 L145 DOI 10.1088/0305-4470/18/3/008

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1 Dept. of Phys., Nat. Tsing Hua Univ., Taiwan

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0305-4470/18/3/L145

Abstract

An exact result is obtained for the number Sn of spiral self-avoiding walks with n steps on a triangular lattice. For n to infinity , Sn increases as 214/3-7/4 pi n-5/4 exp( pi (2n/3.)1/2).

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