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A318801
Number of rooted trees with n nodes such that no more than seven subtrees of the same size extend from the same node.
2
0, 1, 1, 2, 4, 9, 20, 48, 115, 285, 717, 1837, 4753, 12451, 32878, 87549, 234654, 632813, 1715444, 4672539, 12780498, 35091807, 96684475, 267223388, 740690724, 2058468449, 5734614700, 16011714519, 44799497408, 125587597723, 352696619768, 992168346445
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(7, n/i))))
end:
a:= n-> g((n-1)$2):
seq(a(n), n=0..40);
CROSSREFS
Column k=7 of A318753.
Sequence in context: A034824 A145545 A182378 * A318854 A255638 A215971
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 03 2018
STATUS
approved