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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.
7
9, 270, 27110, 8798490, 8980383330, 28344705113430, 273927748387623390, 8057418594145673168610, 718650987298253553656580570, 193874673319110717570773876192670, 157927323459469084048485672225266775510, 387962431958247267773527802272080627127318890
OFFSET
3,1
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, Trimer covers in the triangular grid: twenty mostly open problems, arXiv:2206.06472 [math.CO], 2022.
KEYWORD
nonn
AUTHOR
James Propp, Jul 24 2023
STATUS
approved