A364423 Number of order-3 ribbon tilings for a 3 X n strip.

1, 2, 6, 12, 26, 61, 134, 297, 669, 1490, 3321, 7426, 16573, 36986, 82594, 184382, 411599, 918931, 2051485, 4579826, 10224441, 22825825, 50957971, 113762629, 253972415, 566987102, 1265785592, 2825836529, 6308612558, 14083828826, 31441815085, 70193107041, 156704451838, 349838982690

Offset

1,2

Comments

a(n) is the number of order-3 ribbon tilings of a 3 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: A327477 A350294 A052971 * A289443 A029863 A091919

Adjacent sequences: A364420 A364421 A364422 * A364424 A364425 A364426

Keyword

nonn

Author

Yinsong Chen, Jul 26 2023

Status

approved