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A244539
Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 10.
3
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 21, 22, 23, 24, 25, 26, 27, 28, 29, 175, 496, 1024, 1617, 2278, 3010, 3816, 4699, 5662, 6708, 10310, 19721, 39074, 73487, 125862, 199365, 297436, 423799, 582472, 777777, 1060410, 1547051, 2443649, 4072732, 6905106, 11528110
OFFSET
11,11
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, 10$2) -b(n-1, 11$2):
seq(a(n), n=11..60);
CROSSREFS
Column k=10 of A244530.
Cf. A244464.
Sequence in context: A128536 A202318 A251128 * A335236 A164712 A336558
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jun 29 2014
STATUS
approved