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Search: id:A005358
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| A005358 |
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Number of low discrepancy sequences in base 5.
(Formerly M0478)
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+0
1
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| 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; listen)
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OFFSET
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1,7
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COMMENT
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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.
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REFERENCES
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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).
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LINKS
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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.
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CROSSREFS
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Sequence in context: A119823 A067082 A102685 this_sequence A032960 A117804 A088235
Adjacent sequences: A005355 A005356 A005357 this_sequence A005359 A005360 A005361
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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