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A055277 Triangle of rooted trees with n nodes and k leaves. +0
14
1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 4, 3, 1, 0, 1, 6, 8, 4, 1, 0, 1, 9, 18, 14, 5, 1, 0, 1, 12, 35, 39, 21, 6, 1, 0, 1, 16, 62, 97, 72, 30, 7, 1, 0, 1, 20, 103, 212, 214, 120, 40, 8, 1, 0, 1, 25, 161, 429, 563, 416, 185, 52, 9, 1, 0, 1, 30, 241, 804, 1344, 1268, 732, 270, 65, 10, 1 (list; table; graph; listen)
OFFSET

1,8

LINKS

N. J. A. Sloane, Transforms

Index entries for sequences related to rooted trees

FORMULA

G.f. satisfies A(x, y)=xy+x*EULER(A(x, y))-x. Shifts up under EULER transform.

EXAMPLE

1; 1,0; 1,1,0; 1,2,1,0; 1,4,3,1,0; ...

CROSSREFS

Row sums give A000081. Columns 2 through 12: A002620(n-1), A055278-A055287. Cf. A055288-A055290.

Sequence in context: A136501 A128307 A034369 this_sequence A055340 A119328 A058716

Adjacent sequences: A055274 A055275 A055276 this_sequence A055278 A055279 A055280

KEYWORD

nonn,tabl,eigen

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), May 09 2000

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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