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A318819
Number of rooted trees with n nodes such that four equals the maximal number of subtrees of the same size extending from the same node.
2
0, 1, 1, 3, 8, 23, 61, 167, 461, 1288, 3593, 10084, 28381, 80218, 227156, 644864, 1834290, 5227297, 14919502, 42644478, 122047963, 349716506, 1003120145, 2880163515, 8276937322, 23805829084, 68521035251, 197365718477, 568859465838, 1640609651599, 4734261078026
OFFSET
4,4
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))(4):
seq(a(n), n=4..34);
CROSSREFS
Column k=4 of A318754.
Sequence in context: A108457 A071618 A318861 * A146998 A261329 A375468
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved