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A318817 Number of rooted trees with n nodes such that two equals the maximal number of subtrees of the same size extending from the same node. 2
0, 1, 1, 4, 9, 22, 54, 139, 346, 892, 2290, 5945, 15465, 40527, 106308, 280629, 742107, 1969394, 5239322, 13980900, 37368692, 100157418, 268900827, 723400570, 1949440608, 5262932344, 14227803491, 38529294292, 104473993774, 283672750693, 771229441388 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 2..2213

MAPLE

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

      binomial(g(i-1$2, k)+j-1, j)*g(n-i*j, i-1, k), j=0..min(k, n/i))))

    end:

a:= n-> (k-> g(n-1$2, k) -g(n-1$2, k-1))(2):

seq(a(n), n=2..32);

CROSSREFS

Column k=2 of A318754.

Sequence in context: A042833 A048654 A318859 * A122626 A135025 A231213

Adjacent sequences:  A318814 A318815 A318816 * A318818 A318819 A318820

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 04 2018

STATUS

approved

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Last modified July 5 20:01 EDT 2020. Contains 335473 sequences. (Running on oeis4.)