A364483 The number of stones-and-bones tilings of the (3n-1,3n)-benzel when one orientation of bone is forbidden.

1, 16, 3360, 9371648, 347950546944, 172066422921363456, 1133503548832944876421120

Offset

1,2

Comments

See Problem 11 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..7.

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

Crossrefs

Cf. A352207, A364481, A364482, A364416, A364417, A364418, A364438.

Sequence in context: A289703 A266824 A249599 * A281821 A003773 A217021

Adjacent sequences: A364480 A364481 A364482 * A364484 A364485 A364486

Keyword

nonn,more

Author

James Propp, Jul 26 2023

Status

approved