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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. 7

%I #25 Apr 27 2024 16:49:00

%S 3,102,10260,3267540,3272495580,10170919805580,97112573496153540,

%T 2829427113881208115260,250440846963119234063024220,

%U 67143197168392738521628168122420,54411613647618445838464808052508179060

%N 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.

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

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

%H James Propp, <a href="/A364418/b364418.txt">Table of n, a(n) for n = 3..17</a>

%H James Propp, <a href="https://arxiv.org/abs/2206.06472">Trimer covers in the triangular grid: twenty mostly open problems</a>, arXiv:2206.06472 [math.CO], 2022.

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

%K nonn

%O 3,1

%A _James Propp_, Jul 23 2023

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Last modified September 15 00:47 EDT 2024. Contains 375929 sequences. (Running on oeis4.)