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A318818
Number of rooted trees with n nodes such that three equals the maximal number of subtrees of the same size extending from the same node.
2
0, 1, 1, 3, 9, 23, 60, 166, 447, 1219, 3344, 9214, 25493, 70853, 197150, 550259, 1539767, 4314746, 12112304, 34063256, 95904943, 270375031, 763193304, 2156328194, 6098563949, 17264760959, 48912296290, 138683094562, 393514686620, 1117304554815, 3174397805762
OFFSET
3,4
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))(3):
seq(a(n), n=3..33);
CROSSREFS
Column k=3 of A318754.
Sequence in context: A323798 A180488 A318860 * A026599 A061647 A207008
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved