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A318802
Number of rooted trees with n nodes such that no more than eight subtrees of the same size extend from the same node.
2
0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 718, 1840, 4761, 12473, 32938, 87716, 235119, 634120, 1719126, 4682961, 12810091, 35176098, 96925138, 267912073, 742665243, 2064139425, 5750927105, 16058701943, 44935012264, 125978876147, 353827545177, 995440198738
OFFSET
0,4
LINKS
MAPLE
g:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, add(
binomial(g((i-1)$2)+j-1, j)*g(n-i*j, i-1), j=0..min(8, n/i))))
end:
a:= n-> g((n-1)$2):
seq(a(n), n=0..40);
CROSSREFS
Column k=8 of A318753.
Sequence in context: A034825 A145546 A292553 * A318855 A255639 A216062
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 03 2018
STATUS
approved