A364418 The sum of the weights of the stones-and-bones tilings of the (n,2n-4)-benzel, where each stone is given multiplicative weight 3.

3, 102, 10260, 3267540, 3272495580, 10170919805580, 97112573496153540, 2829427113881208115260, 250440846963119234063024220, 67143197168392738521628168122420, 54411613647618445838464808052508179060

Offset: 3

Author

James Propp, Jul 23 2023

Keywords

• nonn

Comments

See Problem 17 of the Propp article. It is conjectured that a(n) is 2-adically continuous as a function of n > 4.

References

• J. Propp, Trimer covers in the triangular grid: twenty mostly open problems, to appear.

Links

• James Propp, Table of n, a(n) for n = 3..17
• James Propp, Trimer covers in the triangular grid: twenty mostly open problems, arXiv:2206.06472 [math.CO], 2022.

Crossrefs

Cf. A352207, A364416, A364417, A364438, A364481, A364482, A364483.