A364416 The number of stones-and-bones tilings of the (n,2n-4)-benzel.

1, 10, 84, 724, 6516, 60900, 586404, 5777916, 57952212, 589381020, 6060195316, 62863155972, 656765033268, 6902094928308, 72892778268996, 773013952508268, 8226672021670804, 87817595880192684

Offset

3,2

Comments

See Problem 15 of the Propp article. It is conjectured that a(n) is 2-adically continuous as a function of n>4.

Links

Table of n, a(n) for n=3..20.

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

Crossrefs

Cf. A352207, A364417, A364418, A364438, A364481, A364482, A364483.

Sequence in context: A027310 A287826 A335647 * A155593 A239990 A321295

Adjacent sequences: A364413 A364414 A364415 * A364417 A364418 A364419

Keyword

nonn,more

Author

James Propp, Jul 23 2023

Extensions

More terms from James Propp, Apr 26 2024

Status

approved