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%I #23 Mar 17 2018 05:15:08
%S 1,1,5,1,1,3,6,1,3,3,10,10,1,1,1,5,2,3,1,1,3,6,1,8,74,2,1,2,4,2,4,3,5,
%T 9,4,3,1,1,1,2,1,17,6,1,2,12,1,1,1,2,1,24,1,2,1,2,9,989,2,13,1,5,1,1,
%U 1,64,2,2,1,1,9,1,3,1,1,1,2,3,11,2,3,1,10,16,2,1,2,6,4,2,3,3,3,4,1,151,1,4,1
%N Continued fraction expansion of the connective constant of the honeycomb lattice.
%C Essentially the same as A154740 because the associated constants obey 1/A154739 = A179260. - _R. J. Mathar_, Jul 11 2010
%D N. Madras and G. Slade, Self-avoiding walks, Probability and its Applications. Birkhäuser Boston, Inc. Boston, MA (1993).
%H Hugo Duminil-Copin, Stanislav Smirnov, <a href="http://arxiv.org/abs/1007.0575">The connective constant of the honeycomb lattice equals sqrt(2+sqrt2)</a>, arXiv:1007.0575 [math-ph], 2010-2011.
%H G. Lawler, O. Schramm and W. Werner, <a href="http://arxiv.org/abs/math/0204277">On the scaling limit of planar self-avoiding walk</a>, arXiv:math/0204277 [math.PR], 2002.
%H B. Nienhuis, <a href="http://dx.doi.org/10.1103/PhysRevLett.49.1062">Exact critical point and critical exponents of O(n) models in two dimensions</a>, Phys. Rev. Lett. 49 (1982), 1062-1065.
%e 1.8477590650225735... = 1 + 1/1+ 1/5+ 1/1+ 1/1+ 1/3+ 1/6+ 1/1+ 1/3+ 1/3+ 1/10+ 1/10+.
%o (PARI) contfrac(sqrt(2+sqrt(2))) \\ _Michel Marcus_, Mar 17 2018
%Y Cf. A002193, A179260 (decimal expansion).
%K cofr,nonn
%O 1,3
%A _Jonathan Vos Post_, Jul 06 2010
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