id:A108524 - OEIS Search Results

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Number of ordered rooted trees with n generators.

+0
2

1, 2, 7, 32, 166, 926, 5419, 32816, 203902, 1292612, 8327254, 54358280, 358769152, 2390130038, 16051344307, 108548774240, 738563388214, 5052324028508, 34727816264050, 239733805643552, 1661351898336676, 11553558997057772 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A generator is a leaf or a node with just one child.`
	LINKS	`Index entries for sequences related to rooted trees`
	FORMULA	`G.f.: (sqrt(4x^2-8x+1) - 1)/(2*x-4)` `G.f.: 1/(1-x-x/(1-2x-x/(1-2x-x/(1-2x-x/(1-2x-x/(1-... (continued fraction). [From Paul Barry (pbarry(AT)wit.ie), Feb 10 2009]`
	CROSSREFS	`Cf. A108521-A108529, A108525, A000108, A001003.` `Sequence in context: A102161 A015655 A047850 this_sequence A006781 A115197 A107593` `Adjacent sequences: A108521 A108522 A108523 this_sequence A108525 A108526 A108527`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Jun 07 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research