OFFSET
1,8
COMMENTS
The number of occurrences of k is the number of divisors of k-1, for k>=2. Column 1 of the inverse of this infinite matrix begins with (1,-1,1,-1,2,-6,24,-120,6!,-7!,8!,-9!,...). The remaining columns are likewise expressible in terms of factorials.
FORMULA
R(i, j) = (i-j)*(j-1)+1 if 1<=j<=i; R(i, j)=0 if j>=i+1.
EXAMPLE
Northwest corner:
1 0 0 0 0 0
1 1 0 0 0 0
1 2 1 0 0 0
1 3 3 1 0 0
1 4 5 4 1 0
1 5 7 7 5 1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Oct 19 2002
EXTENSIONS
Definition amended by Georg Fischer, Oct 25 2021
STATUS
approved