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A005356 Number of low discrepancy sequences in base 2.
(Formerly M2435)
+0
1
0, 0, 1, 3, 5, 8, 11, 14, 18, 22, 26, 30, 34, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 89, 95, 101, 107, 113, 119, 125 (list; graph; listen)
OFFSET

1,4

REFERENCES

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.

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

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.

MAPLE

A005356:=z**2*(z+1)*(z**5+z**3+1)*(z**4-z**3-1)/(z**9-z**3-1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Sequence in context: A006591 A052488 A076372 this_sequence A060432 A062009 A062484

Adjacent sequences: A005353 A005354 A005355 this_sequence A005357 A005358 A005359

KEYWORD

nonn

AUTHOR

njas, Simon Plouffe (plouffe(AT)math.uqam.ca)

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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