A364438 The sum of the weights of the stones-and-bones tilings of the (n,2n-3)-benzel, where each stone is given multiplicative weight 3.

9, 270, 27110, 8798490, 8980383330, 28344705113430, 273927748387623390, 8057418594145673168610, 718650987298253553656580570, 193874673319110717570773876192670, 157927323459469084048485672225266775510, 387962431958247267773527802272080627127318890

Offset: 3

Author

James Propp, Jul 24 2023

Keywords

• nonn

Comments

See Problem 18 of the Propp article. It is conjectured that a(n) is 2-adically continuous as a function of n > 3.

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, A364418, A364481, A364482, A364483.