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A318823 Number of rooted trees with n nodes such that eight equals the maximal number of subtrees of the same size extending from the same node. 2
0, 1, 1, 3, 8, 22, 60, 167, 465, 1307, 3682, 10422, 29593, 84291, 240663, 688685, 1974519, 5670976, 16312405, 46987424, 135514856, 391278424, 1130925409, 3271852293, 9473955776, 27454758665, 79620740071, 231064799358, 670995202298, 1949684311164, 5668282144436 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,4
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))(8):
seq(a(n), n=8..38);
CROSSREFS
Column k=8 of A318754.
Sequence in context: A318866 A318824 A318865 * A318864 A318822 A318863
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved

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Last modified February 29 08:02 EST 2024. Contains 370414 sequences. (Running on oeis4.)