id:A032035 - OEIS Search Results

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A032035

Number of increasing rooted 2,3 cacti (triangular cacti with bridges) with n-1 nodes.

+0
2

1, 1, 1, 3, 13, 77, 573, 5143, 54025, 650121, 8817001, 133049339, 2210979381, 40118485237, 789221836741, 16730904387183, 380227386482641, 9221550336940241, 237724953543108753, 6491255423787076915 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`Also increasing involution rooted trees with n-1 nodes.`
	LINKS	`C. G. Bower, Transforms (2)` `Index entries for sequences related to cacti` `Index entries for sequences related to rooted trees`
	FORMULA	`E.g.f. of a(n+1) satisfies A'(x) = exp(A(x)+A(x)^2/2)` `E.g.f. satisfies A''(x) = 1/(1-A(x)).` `Shifts left 2 places under "AIJ" (ordered, indistinct, labeled) transform.`
	CROSSREFS	`Cf. A001147, A091481.` `Sequence in context: A047730 A059040 A074530 this_sequence A127127 A043301 A062872` `Adjacent sequences: A032032 A032033 A032034 this_sequence A032036 A032037 A032038`
	KEYWORD	`nonn,eigen`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Apr 01, 1998`

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.

AT&T Labs Research