login
A292236
Number of (unlabeled) rooted trees with n leaf nodes and without unary nodes such that the maximum of the node outdegrees equals ten.
2
1, 2, 7, 23, 78, 262, 893, 3040, 10411, 35723, 122944, 423972, 1465111, 5071369, 17581720, 61036425, 212157682, 738269419, 2571674444, 8966493705, 31289748382, 109275926876, 381912644412, 1335664631114, 4674164533455, 16366851508510, 57340851468662
OFFSET
10,2
MAPLE
b:= proc(n, i, v, k) option remember; `if`(n=0,
`if`(v=0, 1, 0), `if`(i<1 or v<1 or n<v, 0,
`if`(v=n, 1, add(binomial(A(i, k)+j-1, j)*
b(n-i*j, i-1, v-j, k), j=0..min(n/i, v)))))
end:
A:= proc(n, k) option remember; `if`(n<2, n,
add(b(n, n+1-j, j, k), j=2..min(n, k)))
end:
a:= n-> A(n, 10)-A(n, 9):
seq(a(n), n=10..40);
CROSSREFS
Column k=10 of A292086.
Sequence in context: A292233 A292234 A292235 * A292087 A091702 A274104
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 12 2017
STATUS
approved