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A318856 Number of rooted trees with n nodes such that no more than nine isomorphic subtrees extend from the same node. 2
0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1841, 4764, 12481, 32960, 87776, 235286, 634585, 1720432, 4686643, 12820514, 35205695, 97009447, 268152808, 743354184, 2066114828, 5756601016, 16075023964, 44982030666, 126114489722, 354219135234, 996572101259 (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(9, 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=9 of A318757.

Sequence in context: A145547 A292554 A318803 * A255640 A216403 A145548

Adjacent sequences:  A318853 A318854 A318855 * A318857 A318858 A318859

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 04 2018

STATUS

approved

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Last modified August 14 03:03 EDT 2022. Contains 356109 sequences. (Running on oeis4.)