Manuals/calci/REDHEFFER
Jump to navigation
Jump to search
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 | 1 | 1 |
1 | 1 | 0 |
1 | 0 | 1 |
- 2.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