A376824 Number of colorings of a toroidal n X n grid using exactly four colors under translational symmetry.

0, 6, 20720, 257706024, 44900438149488, 131160169581733489616, 6467585568566200114362823920, 5316911768534424725926923896066891424, 72172920340122292837562997014593985220649867760, 16069380442569287654590340470284256047904187412954757496784

Offset

1,2

Links

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

Formula

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

Crossrefs

Main diagonal of A294686.

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

Sequence in context: A278369 A283886 A278653 * A283887 A241650 A368064

Adjacent sequences: A376821 A376822 A376823 * A376825 A376826 A376827

Keyword

nonn

Author

Andrew Howroyd, Oct 05 2024

Status

approved