A364482 The number of stones-and-bones tilings of the (3n+1,3n+2)-benzel when one orientation of bone is forbidden.

6, 512, 591360, 9160359936, 1897011087409152, 5244422625774526267392, 193403358706333224417833779200, 95098462720808932931887549372170240000

Offset

1,1

Comments

See Problem 10 of the Propp article. It is conjectured that a(n) is 2-adically continuous as a function of n.

Links

Table of n, a(n) for n=1..8.

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

Crossrefs

Cf. A352207, A364481, A364483, A364416, A364417, A364418, A364438.

Sequence in context: A103520 A223050 A290937 * A365926 A250391 A003395

Adjacent sequences: A364479 A364480 A364481 * A364483 A364484 A364485

Keyword

nonn

Author

James Propp, Jul 26 2023

Status

approved