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A244536 Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 7. 3
1, 0, 0, 0, 0, 0, 0, 7, 15, 16, 17, 18, 19, 20, 91, 253, 529, 852, 1225, 1651, 2133, 3493, 6931, 14095, 27156, 47648, 77297, 118031, 182462, 300441, 527398, 954712, 1722370, 3015910, 5074611, 8342271, 13730760, 23036563, 39558564, 68974240, 120541276 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,8

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..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, 7$2) -b(n-1, 8$2):

seq(a(n), n=8..50);

CROSSREFS

Column k=7 of A244530.

Cf. A244461.

Sequence in context: A076401 A180114 A204740 * A237054 A216848 A065566

Adjacent sequences: A244533 A244534 A244535 * A244537 A244538 A244539

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 29 2014

STATUS

approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)