A364417 The number of stones-and-bones tilings of the (n,2n-3)-benzel.

3, 18, 142, 1266, 12030, 118650, 1198230, 12296202, 127633590, 1336133730, 14079114270, 149124688482, 1586159072814, 16929780310218, 181227223899942, 1944808008842490, 20915277691567206

Offset

3,1

Comments

See Problem 16 of the Propp article. It is conjectured that a(n) is 2-adically continuous as a function of n > 3.

Links

Table of n, a(n) for n=3..19.

James Propp, Trimer covers in the triangular grid: twenty mostly open problems, arXiv:2206.06472 [math.CO], 2022.

Crossrefs

Cf. A352207, A364416, A364418, A364438, A364481, A364482, A364483.

Sequence in context: A193237 A377530 A325996 * A378891 A212030 A259904

Adjacent sequences: A364414 A364415 A364416 * A364418 A364419 A364420

Keyword

nonn,more

Author

James Propp, Jul 23 2023

Extensions

a(15)-a(19) from James Propp, Apr 25 2024

Status

approved