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A351191
Number of polyominoes of 4n cells with both horizontal and vertical symmetries, for which the 180-degree rotational symmetry has an axis that coincides with a vertex of a square of the underlying matrix, but without 90-degree rotational symmetry.
3
0, 1, 2, 9, 29, 106, 372, 1356, 4928, 18200, 67541, 252847, 951615, 3602131, 13696141, 52295335, 200393559, 770406039, 2970353199, 11482373919, 44491696182, 172766226170, 672185941552, 2619994156474, 10228900153083, 39996337310835, 156612012801698
OFFSET
1,3
COMMENTS
This sequence enumerates a subset of the polyominoes enumerated by A056877.
LINKS
FORMULA
a(n)=A144553(n) + A056877(n) + 2 * A006747(n) + 2 * A006746(n) + 4 * A006749(n) + A006748(n).
EXAMPLE
a(2)=1 because of the 2 by 4 octomino.
KEYWORD
nonn
AUTHOR
John Mason, Feb 05 2022
STATUS
approved