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A052328 Number of rooted trees with a forbidden limb of length 5. 2
1, 1, 2, 4, 9, 19, 46, 110, 273, 684, 1747, 4505, 11763, 30956, 82153, 219437, 589747, 1593170, 4324445, 11787195, 32251520, 88548011, 243877256, 673605521, 1865445693, 5178574184, 14408195935, 40170674295, 112213616851 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

A rooted tree with a forbidden limb of length k is a rooted tree where the path from any leaf inward hits a branching node or the root within k steps.

LINKS

N. J. A. Sloane, Transforms

Index entries for sequences related to rooted trees

FORMULA

a(n) satisfies a=SHIFT_RIGHT(EULER(a-b)) where b(5)=1, b(k)=0 if k != 5.

CROSSREFS

Cf. A002955, A002988-A002992, A052318-A052329.

Sequence in context: A036614 A036718 A134964 * A133228 A036717 A000080

Adjacent sequences:  A052325 A052326 A052327 * A052329 A052330 A052331

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Dec 15 1999.

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.