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A318864 Number of rooted trees with n nodes such that seven equals the maximal number of isomorphic subtrees extending from the same node. 2
0, 1, 1, 3, 8, 22, 60, 167, 466, 1307, 3681, 10418, 29575, 84219, 240407, 687802, 1971576, 5661335, 16281377, 46888590, 135202932, 390300559, 1127877757, 3262398334, 9444747407, 27364824226, 79344643855, 230219356666, 668412171376, 1941808202980, 5644309042885 (list; graph; refs; listen; history; text; internal format)
OFFSET
7,4
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))(7):
seq(a(n), n=7..37);
CROSSREFS
Column k=7 of A318758.
Sequence in context: A318824 A318865 A318823 * A318822 A318863 A318821
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved

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Last modified February 28 16:23 EST 2024. Contains 370400 sequences. (Running on oeis4.)