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A006781 Number of polygons of length 4n on Manhattan lattice.
(Formerly M1788)
1
1, 2, 7, 32, 168, 970, 5984, 38786, 261160, 1812630, 12895360, 93638634, 691793872, 5186869122, 39388514522, 302457399674, 2345362579172, 18345337742960, 144612959167806, 1147920496989270, 9169516892088470 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..21.

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.

CROSSREFS

Sequence in context: A263532 A108524 A226269 * A115197 A107593 A125277

Adjacent sequences:  A006778 A006779 A006780 * A006782 A006783 A006784

KEYWORD

nonn,walk,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

STATUS

approved

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Last modified January 21 11:00 EST 2019. Contains 319351 sequences. (Running on oeis4.)