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A064781
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Partially labeled rooted trees with n nodes (5 of which are labeled).
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1
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625, 7776, 60387, 373895, 2019348, 9941905, 45765687, 200160586, 840783867, 3418136039, 13525307849, 52314181361, 198451152867, 740283848220, 2721325964209, 9875523648986, 35429691205221, 125814678386528
(list; graph; refs; listen; history; internal format)
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OFFSET
| 5,1
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REFERENCES
| J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 134.
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FORMULA
| 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
| Cf. A000081, A000107, A000524, A000444, A000525, A042977.
Sequence in context: A016816 A046756 A143026 * A055868 A106321 A016852
Adjacent sequences: A064778 A064779 A064780 * A064782 A064783 A064784
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KEYWORD
| nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 19 2001
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