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A351142
Free chiral polyominoes with n squares, having 90-degree rotational symmetry about the center of a square of the underlying square matrix.
2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 3, 7, 0, 0, 14, 25, 0, 0, 55, 90, 0, 0, 216, 319, 0, 0, 816, 1136, 0, 0, 3098, 4088, 0, 0, 11711, 14868, 0, 0, 44462, 54526, 0, 0, 169213, 201527, 0, 0, 646441, 750169, 0, 0, 2477819, 2809931, 0, 0, 9530788, 10582370, 0, 0, 36768799, 40043785
OFFSET
1,13
COMMENTS
The sequence enumerates a subset of the polyominoes enumerated by A144553.
FORMULA
For n multiple of 4, a(n) = A144553(n) - A234007(n/4); otherwise a(n) = A144553(n).
EXAMPLE
a(12)=1 because of:
O
OOOO
O O
OOOO
O
CROSSREFS
KEYWORD
nonn,hard
AUTHOR
John Mason, Feb 02 2022
STATUS
approved