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

3,1

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.

Sequence in context: A224817 A157549 A157566 * A157600 A139908 A128070

Adjacent sequences: A364415 A364416 A364417 * A364419 A364420 A364421

Keyword

nonn

Author

James Propp, Jul 23 2023

Status

approved