A244539 Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 10.

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

Alois P. Heinz, Table of n, a(n) for n = 11..1000

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

Adjacent sequences: A244536 A244537 A244538 * A244540 A244541 A244542

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Jun 29 2014

Status

approved