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A318867
Number of rooted trees with n nodes such that ten equals the maximal number of isomorphic subtrees extending from the same node.
2
0, 1, 1, 3, 8, 22, 60, 167, 465, 1306, 3681, 10423, 29598, 84313, 240753, 689013, 1975659, 5674795, 16324964, 47028023, 135644560, 391688786, 1132214211, 3275875432, 9486452173, 27493411246, 79739872605, 231430858159, 672117007940, 1953114145155, 5678747077372
OFFSET
10,4
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))(10):
seq(a(n), n=10..40);
CROSSREFS
Column k=10 of A318758.
Sequence in context: A318905 A318906 A255705 * A318825 A318866 A318824
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2018
STATUS
approved