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A000677 Number of bicentered trees with n nodes.
(Formerly M2366 N0936)
+0
6
0, 0, 1, 0, 1, 1, 3, 4, 11, 20, 51, 108, 267, 619, 1541, 3762, 9497, 23907, 61216, 157211, 407919, 1063398, 2792026, 7365532, 19535887, 52037837, 139213244, 373820978, 1007420841, 2723783122, 7387129661, 20091790330, 54793762295 (list; graph; listen)
OFFSET

0,7

COMMENT

See A000676 for more information.

REFERENCES

N. L. Biggs et al., Graph Theory 1736-1936, Oxford, 1976, p. 49.

A. Cayley, On the analytical forms called trees, with application to the theory of chemical combinations, Reports British Assoc. Advance. Sci. 45 (1875), 257-305 = Math. Papers, Vol. 9, 427-460 (see p. 438).

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..200

E. M. Rains and N. J. A. Sloane, On Cayley's Enumeration of Alkanes (or 4-Valent Trees)., J. Integer Sequences, Vol. 2 (1999), Article 99.1.1.

N. J. A. Sloane, Maple program

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to trees

MAPLE

See link for Maple program.

CROSSREFS

A000676+A000677 = A000055.

Sequence in context: A036652 A097072 A049977 this_sequence A110865 A001642 A001643

Adjacent sequences: A000674 A000675 A000676 this_sequence A000678 A000679 A000680

KEYWORD

nonn,easy,nice

AUTHOR

njas

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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