A047945 Number of 10-colorings of an n X n grid, up to rotational symmetry.

1, 10, 2530, 250025500, 2500000025005000, 2500000000002500005000000, 250000000000000000250000000500000000, 2500000000000000000000002500000000005000000000000, 2500000000000000000000000000000025000000000000005000000000000000

Offset: 0

Author

Rob Pratt

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..25

Crossrefs

Column k=10 of A343095.

Cf. A047937.

Formula

a(n) = (m^(n^2) + 2 m^((n^2 + 3 (n mod 2))/4) + m^((n^2 + (n mod 2))/2))/4, with m = 10.

Extensions

Terms a(8) and beyond from Andrew Howroyd, Apr 14 2021