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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 22 08:00 EDT 2019. Contains 328315 sequences. (Running on oeis4.)