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A244537
Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 8.
3
1, 0, 0, 0, 0, 0, 0, 0, 8, 17, 18, 19, 20, 21, 22, 23, 116, 325, 676, 1080, 1540, 2059, 2640, 3286, 5240, 10241, 20604, 39305, 68286, 109705, 165946, 239629, 351898, 552311, 931070, 1633871, 2879668, 4951860, 8208631, 13094200, 20436400, 31939817, 50935060
OFFSET
9,9
LINKS
MAPLE
b:= proc(n, t, k) option remember; `if`(n=0,
`if`(t in [0, k], 1, 0), `if`(t>n, 0, add(b(j-1, k$2)*
b(n-j, max(0, t-1), k), j=1..n)))
end:
a:= n-> b(n-1, 8$2) -b(n-1, 9$2):
seq(a(n), n=9..55);
CROSSREFS
Column k=8 of A244530.
Cf. A244462.
Sequence in context: A234839 A066554 A302976 * A046459 A274770 A075485
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jun 29 2014
STATUS
approved