Number of partitions of a 2 x n rectangle into connected pieces consisting of unit squares cut along lattice lines (like a 2-d analog of a partition into integers) in which each piece has rotational symmetry.

A152124

Number of partitions of a 2 x n rectangle into connected pieces consisting of unit squares cut along lattice lines (like a 2-d analog of a partition into integers) in which each piece has rotational symmetry.