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A318862 Number of rooted trees with n nodes such that five equals the maximal number of isomorphic subtrees extending from the same node. 2
0, 1, 1, 3, 8, 22, 61, 168, 465, 1302, 3659, 10329, 29247, 83076, 236567, 675191, 1930857, 5531409, 15870783, 45600643, 131187583, 377844713, 1089401822, 3143970659, 9081351051, 26252708661, 75949137535, 219873546468, 636947053248, 1846268556446, 5354642063044 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..2138

MAPLE

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

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

    end:

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

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

    end:

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

a:= n-> (k-> A(n, k)-A(n, k-1))(5):

seq(a(n), n=5..35);

CROSSREFS

Column k=5 of A318758.

Sequence in context: A318821 A014397 A048503 * A318820 A200752 A279378

Adjacent sequences:  A318859 A318860 A318861 * A318863 A318864 A318865

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 04 2018

STATUS

approved

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Last modified August 13 10:14 EDT 2022. Contains 356080 sequences. (Running on oeis4.)