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A318804 Number of rooted trees with n nodes such that no more than ten subtrees of the same size extend from the same node. 3
0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, 4765, 12484, 32968, 87798, 235346, 634752, 1720897, 4687949, 12824195, 35216118, 97039045, 268237121, 743594937, 2066803841, 5758576675, 16080698759, 44998355630, 126161517745, 354354779794, 996963790045, 2809334906744, 7928088014833, 22404525682610 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

This differs from A318857 first at n=34.

LINKS

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

MAPLE

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

      binomial(g((i-1)$2)+j-1, j)*g(n-i*j, i-1), j=0..min(10, n/i))))

    end:

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

seq(a(n), n=0..40);

CROSSREFS

Column k=10 of A318753.

Cf. A318857.

Sequence in context: A216403 A145548 A292555 * A318857 A145549 A292556

Adjacent sequences:  A318801 A318802 A318803 * A318805 A318806 A318807

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 03 2018

STATUS

approved

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Last modified September 24 11:59 EDT 2022. Contains 356932 sequences. (Running on oeis4.)