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Number of colorings of a toroidal n X n grid using exactly three colors under translational symmetry.
6

%I #7 Oct 05 2024 16:30:41

%S 0,9,2022,2679246,33887517990,4169289730628814,4883659745750360600262,

%T 53651309691205903304049168186,5474401089420129832016444491921748358,

%U 5153775207320113272335114827748860107542139918,44553974378043749018442678682265335735181851572329684070

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

%H Andrew Howroyd, <a href="/A376823/b376823.txt">Table of n, a(n) for n = 1..40</a>

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

%Y Main diagonal of A294685.

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

%K nonn

%O 1,2

%A _Andrew Howroyd_, Oct 05 2024