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A359064
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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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0
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2, 5, 7, 12, 20, 33, 52, 86, 137, 222, 353, 568, 900, 1433, 2260, 3574
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OFFSET
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5,1
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LINKS
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FORMULA
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Conjecture from Guo et al.: lim_{n->oo} a(n)/A000055(n) = 0.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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