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A064781
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Number of partially labeled rooted trees with n nodes (5 of which are labeled).
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2
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625, 7776, 60387, 373895, 2019348, 9941905, 45765687, 200160586, 840783867, 3418136039, 13525307849, 52314181361, 198451152867, 740283848220, 2721325964209, 9875523648986, 35429691205221, 125814678386528
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OFFSET
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5,1
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REFERENCES
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J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 134.
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LINKS
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FORMULA
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G.f.: A(x) = B(x)^5*(625-974*B(x)+622*B(x)^2-192*B(x)^3+24*B(x)^4)/(1-B(x))^9, where B(x) is g.f. for rooted trees with n nodes, cf. A000081.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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