A376824 - OEIS

A376824

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

%I #8 Oct 05 2024 16:30:38

%S 0,6,20720,257706024,44900438149488,131160169581733489616,

%T 6467585568566200114362823920,5316911768534424725926923896066891424,

%U 72172920340122292837562997014593985220649867760,16069380442569287654590340470284256047904187412954757496784

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

%H Andrew Howroyd, <a href="/A376824/b376824.txt">Table of n, a(n) for n = 1..40</a>

%F a(n) = A184272(n) - 4*A184278(n) + 6*A179043(n) - 4.

%Y Main diagonal of A294686.

%Y Cf. A179043, A184272, A184278, A376749 (colors permutable), A376822, A376823, A376825.

%K nonn

%O 1,2

%A _Andrew Howroyd_, Oct 05 2024