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A005004 Davenport-Schinzel numbers.
(Formerly M2431)
2
1, 3, 5, 8, 10, 14, 16, 20, 22, 26 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, E20.

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

R. G. Stanton and P. H. Dirksen, Davenport-Schinzel sequences, Ars. Combin., 1 (1976), 43-51.

LINKS

Boris Aronov, Dmitriy Drusvyatskiy, Complexity of a Single Face in an Arrangement of s-Intersecting Curves, arXiv:1108.4336v1 [cs.CG], 2011

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.

MAPLE

A005004:=(z**3-z**2+z+1)*(z**2+z+1)/(1+z)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Cf. A002004.

Sequence in context: A091309 A027922 A051611 * A006218 A062839 A088940

Adjacent sequences:  A005001 A005002 A005003 * A005005 A005006 A005007

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 18:15 EST 2012. Contains 206061 sequences.