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Series expansion for mean-squared radius of gyration of staircase polygons on square lattice.
1

%I #10 Oct 06 2019 13:05:44

%S 0,8,66,444,2710,15512,84756,446952,2291718,11485760,56486716,

%T 273405288,1305401916,6159651344,28766573800,133128274320,

%U 611143639110,2785335811920,12612104460780,56773091159400

%N Series expansion for mean-squared radius of gyration of staircase polygons on square lattice.

%H I. Jensen, <a href="/A121779/b121779.txt">Table of n, a(n) for n = 1..100</a> (from link below)

%H I. Jensen, <a href="https://researchers.ms.unimelb.edu.au/~ij@unimelb/polygons/Polygons_ser.html">Series expansions for self-avoiding polygons</a>

%F Empirical (for n>=4): (n-1)*(659*n^3-1489*n^2+297*n-2310)*a(n) = 2*(1318*n^4-1001*n^3-7168*n^2+4187*n-2382)*a(n-1) + 13932*(2*n-7)*a(n-2). - _Vaclav Kotesovec_, Nov 19 2012

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Aug 30 2006