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Search: id:A055334
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| A055334 |
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Number of asymmetric (identity) trees with n nodes and k leaves. |
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+0
7
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| 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 3, 3, 0, 0, 0, 4, 8, 3, 0, 0, 5, 14, 10, 0, 0, 0, 7, 25, 29, 6, 0, 0, 8, 40, 65, 25, 1, 0, 0, 10, 62, 135, 90, 13, 0, 0, 12, 89, 252, 244, 69, 1, 0, 0, 14, 127, 445, 591, 276, 27, 0, 0, 16, 173, 739, 1273, 868, 172, 3, 0, 0, 19
(list; graph; listen)
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OFFSET
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1,15
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COMMENT
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A pair of zeros marks the next row.
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LINKS
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Index entries for sequences related to trees
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FORMULA
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G.f.: A(x, y)=(1-x+x*y)*B(x, y)-(1/2)*(B(x, y)^2+B(x^2, y^2)). B(x, y): g.f. of A055327.
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EXAMPLE
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1; 0; 0; 0; 0; 0; 0,0,1; 0,0,1; 0,0,2,1; 0,0,3,3; 0,0,4,8,3; ...
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CROSSREFS
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Row sums give A000220. Columns 3 through 8: A001399(n-7), A055335-A055339.
Sequence in context: A037872 A037854 A091229 this_sequence A106237 A071675 A034365
Adjacent sequences: A055331 A055332 A055333 this_sequence A055335 A055336 A055337
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KEYWORD
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nonn,tabf
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), May 12 2000
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