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A318821
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Number of rooted trees with n nodes such that six equals the maximal number of subtrees of the same size extending from the same node.
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2
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0, 1, 1, 3, 8, 22, 60, 168, 466, 1306, 3677, 10400, 29503, 83969, 239533, 684880, 1961986, 5630451, 16182950, 46577929, 134228796, 387264335, 1118459507, 3233302665, 9355173164, 27089886520, 78502923212, 227648300409, 660574571072, 1917958785876, 5571852459248
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OFFSET
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6,4
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LINKS
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MAPLE
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g:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, add(
binomial(g(i-1$2, k)+j-1, j)*g(n-i*j, i-1, k), j=0..min(k, n/i))))
end:
a:= n-> (k-> g(n-1$2, k) -g(n-1$2, k-1))(6):
seq(a(n), n=6..36);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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