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A318865 Number of rooted trees with n nodes such that eight equals the maximal number of isomorphic subtrees extending from the same node. 2
0, 1, 1, 3, 8, 22, 60, 167, 465, 1307, 3682, 10422, 29593, 84291, 240663, 688685, 1974519, 5670969, 16312391, 46987389, 135514781, 391278211, 1130924824, 3271850658, 9473951229, 27454745755, 79620703854, 231064697016, 670994912068, 1949683485967, 5668279789793 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,4
LINKS
MAPLE
h:= proc(n, m, t, k) option remember; `if`(m=0, binomial(n+t, t),
`if`(n=0, 0, add(h(n-1, m-j, t+1, k), j=1..min(k, m))))
end:
b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(b(n-i*j, i-1, k)*h(A(i, k), j, 0, k), j=0..n/i)))
end:
A:= (n, k)-> `if`(n<2, n, b(n-1$2, k)):
a:= n-> (k-> A(n, k)-A(n, k-1))(8):
seq(a(n), n=8..38);
CROSSREFS
Column k=8 of A318758.
Sequence in context: A318825 A318866 A318824 * A318823 A318864 A318822
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved

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Last modified February 27 23:21 EST 2024. Contains 370379 sequences. (Running on oeis4.)