A124890 G.f.: A(x) = (1/x)*series_reversion(x^2/G124344(x)), where G124344(x) is the g.f. of A124344 and satisfies: A(x)^2 = (1/x)*G124344(x*A(x)).

1, 1, 3, 11, 47, 216, 1047, 5263, 27191, 143484, 770047, 4190031, 23062044, 128170182, 718257014, 4054089110, 23026890216, 131517480529, 754865316100, 4351785130675, 25187530716367, 146305151254984, 852604651815745

Offset: 0

Author

Paul D. Hanna, Nov 12 2006

Keywords

• nonn

Comments

A124344(n) is the number of ordered rooted trees on n nodes with thinning limbs.

Crossrefs

Cf. A124344, A124328, A124889, A124891.

Formula

a(n) = A124889(n)/(n+1). a(n) = A124328(2n+1,n+1)/(n+1).