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Search: id:A052323
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A052323 Number of labeled trees with a forbidden limb of length 3. +0
1
1, 1, 1, 3, 4, 65, 576, 5887, 92464, 1680345, 34041520, 774906011, 19537590744, 540890740117, 16321259150392, 533305854910935, 18764822871806176, 707498057530634033, 28460428902580264416, 1216828054782241792435 (list; graph; listen)
OFFSET

0,4

COMMENT

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

LINKS

Index entries for sequences related to trees

FORMULA

E.g.f.: 1+x^4/2+x^5/2+x^6/2+B(x)-B(x)^2/2 where B(x) is e.g.f. of A052322.

CROSSREFS

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

Sequence in context: A041105 A079076 A060356 this_sequence A012087 A012194 A132414

Adjacent sequences: A052320 A052321 A052322 this_sequence A052324 A052325 A052326

KEYWORD

nonn

AUTHOR

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

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


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