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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A359064 a(n) is the number of trees of order n such that the number of eigenvalues of the Laplacian matrix in the interval [0, 1) is equal to ceiling((d + 1)/3) = A008620(d), where d is the diameter of the tree.

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%I A359064 #6 Dec 15 2022 13:39:06
%S A359064 2,5,7,12,20,33,52,86,137,222,353,568,900,1433,2260,3574
%N A359064 a(n) is the number of trees of order n such that the number of eigenvalues of the Laplacian matrix in the interval [0, 1) is equal to ceiling((d + 1)/3) = A008620(d), where d is the diameter of the tree.
%H A359064 Jiaxin Guo, Jie Xue, and Ruifang Liu, <a href="https://arxiv.org/abs/2212.05283">Laplacian eigenvalue distribution, diameter and domination number of trees</a>, arXiv:2212.05283 [math.CO], 2022.
%F A359064 Conjecture from Guo et al.: lim_{n->oo} a(n)/A000055(n) = 0.
%Y A359064 Cf. A000055, A008620.
%K A359064 nonn,more
%O A359064 5,1
%A A359064 _Stefano Spezia_, Dec 15 2022