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A124344 Number of ordered rooted trees on n nodes with thinning limbs. 10
1, 1, 2, 4, 10, 25, 68, 187, 530, 1523, 4447, 13121, 39107, 117490, 355507, 1082234, 3312255, 10185125, 31450633, 97480337, 303157086, 945671951, 2958113722, 9276528602, 29158191215, 91845796986, 289874628176, 916536727561 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..150

FORMULA

G.f.: A(x) = A0(x)+A1(x)+A2(x)+... where A0(x)=x, An(x) = x*(A0(x)+A1(x)+...+An(x))^n.

CROSSREFS

Cf. A000108, A124343-A124348.

Row sums of A124328.

Sequence in context: A220872 A317876 A124501 * A049125 A191768 A027432

Adjacent sequences:  A124341 A124342 A124343 * A124345 A124346 A124347

KEYWORD

nonn

AUTHOR

Christian G. Bower, Oct 30 2006, suggested by Franklin T. Adams-Watters

STATUS

approved

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Last modified October 17 14:56 EDT 2018. Contains 316282 sequences. (Running on oeis4.)