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Search: id:A030982
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A030982 Noncrossing nonplanted bushes with n nodes, i.e. rooted noncrossing trees with n nodes and no nodes of degree 1. +0
1
0, 1, 1, 7, 18, 80, 284, 1169, 4628, 19137, 79165, 333058, 1410608, 6029816, 25941384, 112315945, 488862888, 2138161043, 9391903131, 41414729419, 183264846010, 813564012660, 3622193670040, 16170171489820 (list; graph; listen)
OFFSET

1,4

LINKS

Index entries for sequences related to rooted trees

FORMULA

5*sum((-1)^(n-k)*2^(n-k)*k*binomial(n, k)*binomial(3*k-2, k-2)/(2*k+1), k=2..n)/n.

CROSSREFS

A030981-A030980.

Sequence in context: A084819 A019534 A024830 this_sequence A156238 A156295 A070414

Adjacent sequences: A030979 A030980 A030981 this_sequence A030983 A030984 A030985

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu)

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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