A057409 Number of self-avoiding polygons of area n with any number of (self-avoiding polygon) holes on square lattice (not allowing rotations).

1, 2, 6, 19, 63, 216, 756, 2685, 9650, 35018, 128084, 471623, 1746492, 6499356, 24290272, 91123171, 342984175, 1294829776, 4901319978, 18597856445, 70723784744, 269486503694, 1028736811230, 3933715966653

Offset

1,2

Links

I. Jensen, Table of n, a(n) for n = 1..40 (from link below)

Anthony J. Guttmann, Iwan Jensen and Aleksander L. Owczarek, Polygonal polyominoes on the square lattice, J. Phys. A: Math. Gen., 34 (2001), 3721-3733.

I. Jensen, More terms

Crossrefs

Cf. A006724 (no holes, first differs at n=8), A057406, A057407, A057408 (resp. 1, 2, 3 holes); A001168 (any holes, first differs at n=7); A088702 (by perimeter); A000104 (no holes, rotations and reflections allowed).

Sequence in context: A059713 A109262 A006724 * A346157 A141771 A001170

Adjacent sequences: A057406 A057407 A057408 * A057410 A057411 A057412

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2000

Status

approved