A351127 Number of polyominoes with n cells with maximal symmetry and center of rotation about the center of a square.

1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 7, 7, 0, 0, 16, 11, 0, 0, 29, 20, 0, 0, 67, 36, 0, 0, 119, 65, 0, 0, 264, 117, 0, 0, 478, 216, 0, 0, 1043, 396, 0, 0, 1910, 736, 0, 0, 4116, 1369, 0, 0, 7592, 2558, 0, 0, 16201, 4787, 0, 0, 30114, 9006

Offset: 1

Author

John Mason, Feb 02 2022

Keywords

• nonn
• hard

Comments

The sequence enumerates a subset of the polyominoes of maximal symmetry enumerated by A142886.

Links

• John Mason, Table of n, a(n) for n = 1..163

Crossrefs

Cf. A000105, A142886, A346800.

Formula

For n multiple of 4, a(n) = A142886(n) - A346800(n/4); otherwise a(n) = A142886(n).