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a(n) is the number of creatures that can be made from exactly n Palago tiles.
1

%I #14 Sep 20 2019 03:55:15

%S 0,0,1,0,1,1,2,2,9,13,37,81,205,512,1335,3404,8922,23592,62630,167622

%N a(n) is the number of creatures that can be made from exactly n Palago tiles.

%C A "creature" in Palago is a closed shape of a single color across several Palago tiles, perhaps with one or more holes.

%C A Palago tile is a hexagonal tile with four regions of alternating colors. See links for illustrations.

%C Creatures are counted up to rotation, reflection, and swapping colors.

%H Cameron Browne, <a href="http://cambolbro.com/games/palago/creature-counts/">Counting Creatures</a>

%H Code Golf Stack Exchange, <a href="https://codegolf.stackexchange.com/q/193011/53884">Counting creatures on a hexagonal tiling</a>

%Y Cf. A000228.

%K nonn,more

%O 1,7

%A _Peter Kagey_, Sep 09 2019