A047941 Number of 6-colorings of an n X n grid, up to rotational symmetry.

1, 6, 336, 2521476, 705277897416, 7107572010747738816, 2578606199622659276537193216, 33678386561031835867238388699701784576, 15835071665743319426540573726368249140484891508736, 268034865369025581797148715934176748584236925114472848300179456

Offset

0,2

Links

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

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 = 6.

Crossrefs

Column k=6 of A343095.

Cf. A047937.

Sequence in context: A003031 A144849 A212490 * A229501 A289738 A211089

Adjacent sequences: A047938 A047939 A047940 * A047942 A047943 A047944

Keyword

nonn

Author

Rob Pratt

Extensions

Terms a(9) and beyond from Andrew Howroyd, Apr 14 2021

Status

approved