OFFSET
0,3
COMMENTS
It appears that a(n) is divisible by 2^floor(n/2).
LINKS
James Propp, Some 2-adic conjectures concerning polyomino tilings of Aztec diamonds, arXiv:2204.00158 [math.CO], 2022, section 6. See also Integers (2023) Vol. 23, Art. A30.
EXAMPLE
For n=2 there are just a(2)=2 tilings: one with the square at the far right and one with the square at the far left (in either case, the remainder of the Aztec diamond can be covered by skew tetrominoes in a unique way).
CROSSREFS
KEYWORD
nonn
AUTHOR
James Propp, Aug 09 2022
STATUS
approved