A376823 Number of colorings of a toroidal n X n grid using exactly three colors under translational symmetry.

0, 9, 2022, 2679246, 33887517990, 4169289730628814, 4883659745750360600262, 53651309691205903304049168186, 5474401089420129832016444491921748358, 5153775207320113272335114827748860107542139918, 44553974378043749018442678682265335735181851572329684070

Offset: 1

Author

Andrew Howroyd, Oct 05 2024

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..40

Crossrefs

Main diagonal of A294685.

Cf. A179043, A184278, A376748 (colors permutable), A376822, A376824, A376825.

Formula

a(n) = A184278(n) - 3*A179043(n) + 3.