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A000526 Partially labeled trees with n nodes (5 of which are labeled).
(Formerly M5387 N2340)
+0
9
125, 1296, 8716, 47787, 232154, 1040014, 4395772, 17781210, 69498964, 264248924, 982218072, 3582421612, 12857819052, 45515994861, 159205157535, 551049504784, 1889714853263, 6427147635062, 21698583468717 (list; graph; listen)
OFFSET

5,1

REFERENCES

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 138.

LINKS

Index entries for sequences related to trees

FORMULA

G.f.: A(x) = B(x)^5*(125-204*B(x)+118*B(x)^2-24*B(x)^3)/(1-B(x))^7, where B(x) is g.f. for rooted trees with n nodes, cf. A000081.

CROSSREFS

Cf. A000055, A000107, A000243, A000269, A000444, A000485, A000524, A000525.

Sequence in context: A016815 A088896 A016851 this_sequence A016971 A030082 A017043

Adjacent sequences: A000523 A000524 A000525 this_sequence A000527 A000528 A000529

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Oct 19 2001

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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