OFFSET
0,8
COMMENTS
This array generalizes A367728.
LINKS
Stefano Spezia, First 151 antidiagonals of the array
FORMULA
EXAMPLE
The array of the fractions begins:
1, -1, -1, -1, -1, -1, -1, -1, ...
1, 0, -1/3, -1/2, -3/5, -2/3, -5/7, -3/4, ...
1, 1/3, 0, -1/5, -1/3, -3/7, -1/2, -5/9, ...
1, 1/2, 1/5, 0, -1/7, -1/4, -1/3, -2/5, ...
1, 3/5, 1/3, 1/7, 0, -1/9, -1/5, -3/11, ...
1, 2/3, 3/7, 1/4, 1/9, 0, -1/11, -1/6, ...
1, 5/7, 1/2, 1/3, 1/5, 1/11, 0, -1/13, ...
1, 3/4, 5/9, 2/5, 3/11, 1/6, 1/13, 0, ...
...
The array of the denominators begins:
1, 1, 1, 1, 1, 1, 1, 1, ...
1, 1, 3, 2, 5, 3, 7, 4, ...
1, 3, 1, 5, 3, 7, 2, 9, ...
1, 2, 5, 1, 7, 4, 3, 5, ...
1, 5, 3, 7, 1, 9, 5, 11, ...
1, 3, 7, 4, 9, 1, 11, 6, ...
1, 7, 2, 3, 5, 11, 1, 13, ...
1, 4, 9, 5, 11, 6, 13, 1, ...
...
MATHEMATICA
A[0, 0]=1; A[n_, k_]:=Denominator[(FromDigits[Reverse[IntegerDigits[n]]]-k)/(n+k)]; Table[A[n-k, k], {n, 0, 12}, {k, 0, n}]//Flatten
CROSSREFS
KEYWORD
AUTHOR
Stefano Spezia, Dec 02 2023
STATUS
approved