A121779 Series expansion for mean-squared radius of gyration of staircase polygons on square lattice.

0, 8, 66, 444, 2710, 15512, 84756, 446952, 2291718, 11485760, 56486716, 273405288, 1305401916, 6159651344, 28766573800, 133128274320, 611143639110, 2785335811920, 12612104460780, 56773091159400

Offset

1,2

Links

I. Jensen, Table of n, a(n) for n = 1..100 (from link below)

I. Jensen, Series expansions for self-avoiding polygons

Formula

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

Crossrefs

Sequence in context: A212784 A121781 A121780 * A051825 A218927 A303485

Adjacent sequences: A121776 A121777 A121778 * A121780 A121781 A121782

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2006

Status

approved