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A005358 Number of low discrepancy sequences in base 5.
(Formerly M0478)
0
0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 (list; graph; refs; listen; history; internal format)
OFFSET

1,7

COMMENTS

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

REFERENCES

Harald Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory 30 (1988), no. 1, 51-70.

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: A119823 A067082 A102685 * A032960 A117804 A088235

Adjacent sequences:  A005355 A005356 A005357 * A005359 A005360 A005361

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.