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Search: id:A064782
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| A064782 |
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Partially labeled rooted trees with n nodes (6 of which are labeled). |
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+0
2
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| 7776, 117649, 1071904, 7601777, 46205469, 252620693, 1277843841, 6088987597, 27669884619, 120970585689, 512143134419, 2110092318654, 8493720340735, 33506301271642, 129860760881905, 495506657571553, 1864611086321279
(list; graph; listen)
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OFFSET
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6,1
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REFERENCES
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J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 134.
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FORMULA
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G.f.: A(x) = B(x)^6*(7776-14543*B(x)+11758*B(x)^2-5126*B(x)^3+1200*B(x)^4-120*B(x)^5)/(1-B(x))^11, where B(x) is g.f. for rooted trees with n nodes, cf. A000081.
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CROSSREFS
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Cf. A000081, A000107, A000524, A000444, A000525, A042977.
Sequence in context: A115440 A028538 A123990 this_sequence A016865 A016913 A017057
Adjacent sequences: A064779 A064780 A064781 this_sequence A064783 A064784 A064785
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Oct 19 2001
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