OFFSET
1,3
COMMENTS
The definition of Mobius transform is extended to matrices here in the sense of "left multiplication by the Mobius matrix A054525". - R. J. Mathar, Oct 02 2007
FORMULA
EXAMPLE
First few rows of the triangle are:
1;
-1, 3;
-1, 0, 4;
0, -3, 0, 7;
-1, 0, 0, 0, 6;
1, -3, -4, 0, 0, 12;
...
MAPLE
A000203T := proc(n, k) if n = k then numtheory[sigma](n) ; else 0 ; fi ; end: A054525 := proc(n, k) if n < 1 or k > n or n mod k <> 0 then 0; else numtheory[mobius](n/k) ; fi ; end: A127569 := proc(n, k) add(A054525(n, i)*A000203T(i, k), i=1..n) ; end: for n from 1 to 15 do for k from 1 to n do printf("%a, ", A127569(n, k)) ; od: od: # R. J. Mathar, Oct 02 2007
CROSSREFS
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Jan 19 2007
EXTENSIONS
Missing comma corrected by Naruto Canada, Aug 26 2007
More terms from R. J. Mathar, Oct 02 2007
STATUS
approved