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A203935
Number of lattice 2n-gons with edges on distinct lines.
0
1, 4, 26, 240, 2918, 44424, 816730, 17652320
OFFSET
2,2
COMMENTS
a(n) is the number of self-avoiding polygons on the n X n square lattice having 2n edges (arbitrary perimeter) with an edge on each of the n distinct horizontal and n distinct vertical lines in the lattice.
EXAMPLE
a(4)=26: 4 symmetries of the Z pentomino; 4 rotations of the step (123 bargraph) hexomino; 8 symmetries of each of the 132 and 213 bargraph hexominoes; and 2 rotations of the heptomino that consists of a 3x3 square with opposite corner cells removed.
CROSSREFS
Sequence in context: A115416 A302606 A052577 * A210912 A210913 A210914
KEYWORD
nonn,more
AUTHOR
David Bevan, Jan 08 2012
EXTENSIONS
a(8) and a(9) from Francisco Mota, Jun 06 2013
STATUS
approved