id:A124329 - OEIS Search Results

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Number of ordered trees with n edges, with thinning limbs and with root of degree 2. An ordered tree with thinning limbs is such that if a node has k children, all its children have at most k children.

+0
2

0, 1, 2, 5, 10, 22, 46, 101, 220, 492, 1104, 2515, 5762, 13327, 30994, 72555, 170654, 403350, 957134, 2279947, 5449012, 13063595, 31406516, 75701507, 182902336, 442885682, 1074604288, 2612341855, 6361782006, 15518343596, 37912613630 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Column 2 of A124328.`
	FORMULA	`G.f.=[1-z-2z^2-sqrt(1-2z-3z^2+4z^3)]/[2(1-z)z^2].`
	MAPLE	`G:=(1-z-2z^2-sqrt(1-2z-3z^2+4z^3))/2/z^2/(1-z): Gser:=series(G, z=0, 40): seq(coeff(Gser, z, n), n=1..36);`
	CROSSREFS	`Cf. A124344, A124328.` `Sequence in context: A026655 A100938 A018004 this_sequence A144520 A101399 A018109` `Adjacent sequences: A124326 A124327 A124328 this_sequence A124330 A124331 A124332`
	KEYWORD	`nonn`
	AUTHOR	`Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 03 2006`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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