A364424 Number of order-4 ribbon tilings for a 4 X n strip.

1, 2, 6, 24, 60, 160, 455, 1379, 3849, 10811, 30690, 88447, 250980, 712381, 2025309, 5778250, 16437468, 46754562, 133015365, 378725526, 1077736517, 3066752734, 8726710102, 24836946216, 70681078421, 201141628889, 572399433419, 1628968619409, 4635735508041, 13192378795433

Offset

1,2

Comments

a(n) is the number of order-4 ribbon tilings of a 4 X n strip. Note that the width of the strip is equal to the order of ribbon tiles.

References

Yinsong Chen and Vladislav Kargin, The Number of ribbon tilings for strips, Discrete Applied Mathematics, Volume 340, 15 December 2023, pages 85-103.

Links

Yinsong Chen, Table of n, a(n) for n = 1..100

Yinsong Chen and Vladislav Kargin, The Number of ribbon tilings for strips, arXiv:2307.00767 [math.CO], 2023.

Crossrefs

Sequence in context: A118038 A240428 A276838 * A022917 A189855 A189566

Adjacent sequences: A364421 A364422 A364423 * A364425 A364426 A364427

Keyword

nonn

Author

Yinsong Chen, Jul 26 2023

Status

approved