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A318803
Number of rooted trees with n nodes such that no more than nine subtrees of the same size extend from the same node.
2
0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1841, 4764, 12481, 32960, 87776, 235286, 634585, 1720432, 4686643, 12820514, 35205695, 97009447, 268152808, 743354184, 2066114828, 5756601016, 16075023964, 44982030666, 126114489722, 354219135234, 996572101250
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(9, n/i))))
end:
a:= n-> g((n-1)$2):
seq(a(n), n=0..40);
CROSSREFS
Column k=9 of A318753.
Sequence in context: A034826 A145547 A292554 * A318856 A255640 A216403
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 03 2018
STATUS
approved