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

3,1

Comments

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

Links

Table of n, a(n) for n=3..14.

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.

Sequence in context: A300169 A157571 A202689 * A218693 A258302 A336195

Adjacent sequences: A364435 A364436 A364437 * A364439 A364440 A364441

Keyword

nonn

Author

James Propp, Jul 24 2023

Status

approved