A006781 Number of polygons of length 4n on Manhattan lattice.

1, 2, 7, 32, 168, 970, 5984, 38786, 261160, 1812630, 12895360, 93638634, 691793872, 5186869122, 39388514522, 302457399674, 2345362579172, 18345337742960, 144612959167806, 1147920496989270, 9169516892088470

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• walk
• nice

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• D. Bennett-Wood, J. L. Cardy, I. Enting, A. J. Guttmann and A. L. Owczarek, On the Non-Universality of a Critical Exponent for Self-Avoiding Walks, arXiv:cond-mat/9805146 [cond-mat.stat-mech], 1998; Nuc. Phys. B, 528, 533--552, 1998. [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 13 2010]
• I. G. Enting and A. J. Guttmann, Self-avoiding polygons on the square, L and Manhattan lattices, J. Phys. A 18 (1985), 1007-1017.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 13 2010