OFFSET
0,2
COMMENTS
It appears that for all k, the mod 2^k residue of a(n) is periodic with period dividing 2^k.
LINKS
James Propp, Some 2-adic conjectures concerning polyomino tilings of Aztec diamonds, arXiv:2204.00158 [math.CO], 2022, section 3. See also Integers (2023) Vol. 23, Art. A30.
EXAMPLE
For n=1 the 3 tilings use 2 horizontal dominoes, 2 vertical dominoes, and 1 square tetromino, respectively.
CROSSREFS
KEYWORD
nonn
AUTHOR
James Propp, Aug 09 2022
STATUS
approved