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A244535 Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 6. 3
1, 0, 0, 0, 0, 0, 6, 13, 14, 15, 16, 17, 69, 190, 400, 651, 946, 1288, 2186, 4425, 9126, 17811, 31654, 51997, 85841, 149916, 276056, 518089, 960466, 1718395, 3006963, 5269873, 9392821, 17032418, 31098198, 56432687, 101350402, 180978701, 323731177, 582832779 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,7

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..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, 6$2) -b(n-1, 7$2):

seq(a(n), n=7..50);

CROSSREFS

Column k=6 of A244530.

Cf. A244460.

Sequence in context: A090324 A106623 A115010 * A066826 A031113 A112610

Adjacent sequences:  A244532 A244533 A244534 * A244536 A244537 A244538

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 29 2014

STATUS

approved

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Last modified August 16 14:26 EDT 2022. Contains 356168 sequences. (Running on oeis4.)