Difference between revisions of "Manuals/calci/REDHEFFER"

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==Examples==
 
==Examples==
*1.MATRIX("redheffer")
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*1.MATRIX("redheffer") =1
 +
*2.MATRIX("redheffer",3)
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
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| 1 || 0 || 1  
 
| 1 || 0 || 1  
 
|}
 
|}
*2.MATRIX("redheffer",6)
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*3.MATRIX("redheffer",6)
 
{| class="wikitable"
 
{| class="wikitable"
 
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*[[Manuals/calci/CIRCULANT| CIRCULANT]]
 
*[[Manuals/calci/CIRCULANT| CIRCULANT]]
 
*[[Manuals/calci/HANKEL| HANKEL]]
 
*[[Manuals/calci/HANKEL| HANKEL]]
 
  
 
==References==
 
==References==
 +
*[http://en.wikipedia.org/wiki/Redheffer_matrix Redheffer Matrix]

Latest revision as of 02:37, 26 October 2015

MATRIX("REDHEFFER",order)


  • is the size of the Redheffer matrix.

Description

  • This function gives the redheffer matrix of order 3.
  • A Redheffer matrix is a square (0,1) -matrix with elements equal to 1 if j=1 or i/j (i divides j), and 0 otherwise. *For n=1, 2, ..., The first few Redheffer matrices are

  • The determinant of the n×n Redheffer matrix is equal to the Mertens function M(n).

Examples

  • 1.MATRIX("redheffer") =1
  • 2.MATRIX("redheffer",3)
1 1 1
1 1 0
1 0 1
  • 3.MATRIX("redheffer",6)
1 1 1 1 1 1
1 1 0 1 0 1
1 0 1 0 0 1
1 0 0 1 0 0
1 0 0 0 1 0
1 0 0 0 0 1

See Also

References