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A318825 Number of rooted trees with n nodes such that ten equals the maximal number of subtrees of the same size extending from the same node. 2
0, 1, 1, 3, 8, 22, 60, 167, 465, 1306, 3681, 10423, 29598, 84313, 240753, 689013, 1975659, 5674795, 16324964, 47028023, 135644560, 391688795, 1132214229, 3275875477, 9486452270, 27493411521, 79739873360, 231430860268, 672117013805, 1953114161607, 5678747123701 (list; graph; refs; listen; history; text; internal format)
OFFSET
10,4
LINKS
MAPLE
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))(10):
seq(a(n), n=10..40);
CROSSREFS
Column k=10 of A318754.
Sequence in context: A318906 A255705 A318867 * A318866 A318824 A318865
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved

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Last modified February 25 17:53 EST 2024. Contains 370332 sequences. (Running on oeis4.)