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A318855 Number of rooted trees with n nodes such that no more than eight isomorphic subtrees extend from the same node. 2
0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 718, 1840, 4761, 12473, 32938, 87716, 235119, 634120, 1719126, 4682961, 12810091, 35176098, 96925138, 267912073, 742665243, 2064139425, 5750927105, 16058701943, 44935012272, 125978876163, 353827545217, 995440198833 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..2136

MAPLE

h:= proc(n, m, t) option remember; `if`(m=0, binomial(n+t, t),

      `if`(n=0, 0, add(h(n-1, m-j, t+1), j=1..min(8, m))))

    end:

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(b(n-i*j, i-1)*h(a(i), j, 0), j=0..n/i)))

    end:

a:= n-> `if`(n<2, n, b(n-1$2)):

seq(a(n), n=0..35);

CROSSREFS

Column k=8 of A318757.

Sequence in context: A145546 A292553 A318802 * A255639 A216062 A034826

Adjacent sequences:  A318852 A318853 A318854 * A318856 A318857 A318858

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 04 2018

STATUS

approved

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Last modified October 3 22:17 EDT 2022. Contains 357237 sequences. (Running on oeis4.)