A364425 Number of order-5 ribbon tilings for a 5 X n strip.

1, 2, 6, 24, 120, 360, 1140, 3810, 13434, 49946, 169024, 574844, 1970274, 6826161, 23977111, 82657670, 284973586, 983395989, 3400594524, 11800532430, 40796408747, 141019980545, 487480906364, 1685757928053, 5834545502357, 20178892885120

Offset

1,2

Comments

a(n) is the number of order-5 ribbon tilings of a 5 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: A189852 A189564 A276839 * A178010 A366368 A355988

Adjacent sequences: A364422 A364423 A364424 * A364426 A364427 A364428

Keyword

nonn

Author

Yinsong Chen, Aug 14 2023

Status

approved