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A108525 Number of increasing ordered rooted trees with n generators. 1
1, 3, 27, 429, 9609, 277107, 9772803, 407452221, 19604840481, 1069202914083, 65177482634667, 4391636680582029, 324102772814580729, 25999541378465556627, 2252597527900572815763, 209625760563134613131421 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A generator is a leaf or a node with just one child.

In an increasing rooted tree, nodes are numbered and numbers increase as you move away from root.

LINKS

Index entries for sequences related to rooted trees

FORMULA

E.g.f. satisfies 2*A(x) = x - 1 + A'(x) + 1/(1-A(x))

CROSSREFS

Cf. A108521-A108529, A001147.

Sequence in context: A201696 A011781 A094577 * A136719 A159600 A159601

Adjacent sequences:  A108522 A108523 A108524 * A108526 A108527 A108528

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Jun 07 2005

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.