T32-invariant sequences: Difference between revisions

From Polymath Wiki
Jump to navigationJump to search
Alec (talk | contribs)
Sequence of length 417.
 
Alec (talk | contribs)
mNo edit summary
 
Line 1: Line 1:
A <math>T_k</math>-invariant sequence is one that satisfies <math>x_{kn} = x_n</math> for all <math>n</math>.
A <math>T_k</math>-invariant sequence is one that satisfies <math>x_{kn} = x_n</math> for all <math>n</math>.


This sequence, of length <math>417</math>, is <math>T_{32}</math>-invariant:
This sequence, of length <math>417</math>, is <math>T_{32}</math>-invariant with discrepancy <math>2</math>:


  0 + + - - + + - + - - + - - - + + - + - - + + + - + - - + + + -
  0 + + - - + + - + - - + - - - + + - + - - + + + - + - - + + + -

Latest revision as of 06:21, 10 January 2010

A [math]\displaystyle{ T_k }[/math]-invariant sequence is one that satisfies [math]\displaystyle{ x_{kn} = x_n }[/math] for all [math]\displaystyle{ n }[/math].

This sequence, of length [math]\displaystyle{ 417 }[/math], is [math]\displaystyle{ T_{32} }[/math]-invariant with discrepancy [math]\displaystyle{ 2 }[/math]:

0 + + - - + + - + - - + - - - + + - + - - + + + - + - - + + + -
+ - - - + + - + - + - + - - + - - + + + + - - - - + + - + - - +
+ + + - - - + + + - - - - + - + - + + - + + - - + + - - - + + +
- + + - + - + - + - - - - + - + - + + - + + - + + - + - + - - +
- - - + - + + + - - + - + + - + + - + - + - - + - - - + - + + +
+ - + - - + - - + - + - + + - - - + + + - - + - + - - + - + + -
+ + - + - + + - - - - + + + - - + - - + + + + - - - + - + - - +
- + + - + + - + - + + - - - + + + - - - + + - - - + + + - + - -
+ + + - - + - + - - + - + - + + - - - + + + - + + - - - + - + -
- + - + - + + + + - - + - - + + + - - - + + + - - - + + - + + -
- - - + + + - - + + - - - + + - + + + - + - - - - + - + + + - -
+ + + - - - + - - + + + - + - - - + + + + - - + + - + - + - - +
- - - + - + + + + - - - + + + - - + - + + - - - + - + + - + - +
- +