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A136796
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Number of labeled marked rooted trees with n nodes.
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3
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2, 16, 288, 8192, 320000, 15925248, 963780608, 68719476736, 5642219814912, 524288000000000, 54394721876836352, 6232805962420322304, 781754012972500385792, 106530593546206374264832, 15672832819200000000000000, 2475880078570760549798248448
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listen;
history;
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internal format)
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OFFSET
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1,1
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COMMENTS
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A marked rooted tree is a rooted tree where each node and edge is marked as + or -.
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REFERENCES
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F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 293 (4.1.60).
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LINKS
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FORMULA
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E.g.f.: B(4*x)/2 where B(x) is e.g.f. of A000169.
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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