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A006672 Ramsey numbers.
(Formerly M3226)
+0
1
4, 4, 6, 7, 8, 9, 11, 12, 13, 14 (list; graph; listen)
OFFSET

1,1

COMMENT

The g.f. -(4+8*z+14*z**2+z**3+5*z**4)/(-1-z-z**2+4*z**3) conjectured by S. Plouffe in his 1992 dissertation is wrong.

REFERENCES

S. Burr, P. Erdos, R. J. Faudree, C. C. Rousseau and R. H. Schelp, Some complete bipartite graph-tree Ramsey numbers, pp. 79-89 of Graph Theory in Memory of G. A. Dirac (Sandbjerg, 1985). Edited by L. D. Andersen et al., Annals of Discrete Mathematics, 41. North-Holland Publishing Co., Amsterdam-New York, 1989.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

CROSSREFS

Sequence in context: A113523 A132882 A065677 this_sequence A107287 A105790 A090682

Adjacent sequences: A006669 A006670 A006671 this_sequence A006673 A006674 A006675

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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