A325936 a(n) is the number of creatures that can be made from exactly n Palago tiles.

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

Offset

1,7

Comments

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

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

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

Links

Table of n, a(n) for n=1..20.

Cameron Browne, Counting Creatures

Code Golf Stack Exchange, Counting creatures on a hexagonal tiling

Crossrefs

Cf. A000228.

Sequence in context: A066324 A143146 A298663 * A185755 A278458 A309705

Adjacent sequences: A325933 A325934 A325935 * A325937 A325938 A325939

Keyword

nonn,more

Author

Peter Kagey, Sep 09 2019

Status

approved