

A284869


Number of nstep 2dimensional closed selfavoiding paths on triangular lattice, reduced for symmetry, i.e., where rotations and reflections are not counted as distinct.


11



0, 0, 1, 1, 1, 4, 5, 16, 37, 120, 344, 1175, 3807, 13224, 45645
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OFFSET

1,6


COMMENTS

Differs from A057729 beginning at n = 11, since that sequence includes triangular polyominoes with holes.


LINKS

Table of n, a(n) for n=1..15.
Hugo Pfoertner, Illustration of ratio A036418(n)/a(n) using Plot2.
Hugo Pfoertner, Illustration of polygons of perimeter <= 11.


CROSSREFS

Approaches (1/12)*A036418 for increasing n.
Cf. A057729, A258206, A266549, A316196.
Sequence in context: A196021 A064294 A352156 * A057729 A110278 A013628
Adjacent sequences: A284866 A284867 A284868 * A284870 A284871 A284872


KEYWORD

nonn,walk,more


AUTHOR

Luca Petrone, Apr 04 2017


EXTENSIONS

a(15) from Hugo Pfoertner, Jun 27 2018


STATUS

approved



