A155031 Triangle T(n, k) = 0 if n==0 (mod k) otherwise -1 with T(n, n) = 1 and T(n, 0) = 0, read by rows.
1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, -1, -1, -1, 1, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, -1, 0, -1, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1
Offset: 1
Examples
Table begins: 1; 0, 1; 0, -1, 1; 0, 0, -1, 1; 0, -1, -1, -1, 1; 0, 0, 0, -1, -1, 1; 0, -1, -1, -1, -1, -1, 1; 0, 0, -1, 0, -1, -1, -1, 1; 0, -1, 0, -1, -1, -1, -1, -1, 1;
Links
- G. C. Greubel, Rows n = 1..30 of the triangle, flattened
Programs
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Magma
[k eq n select 1 else (k eq 1 or n mod k eq 0) select 0 else -1: k in [1..n], n in [1..12]]; // G. C. Greubel, Mar 08 2021
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Mathematica
T[n_, k_]:= If[k==n, 1, If[k==1 || Mod[n, k]==0, 0, -1]]; Table[T[n, k], {n, 12}, {k, n}] //Flatten (* G. C. Greubel, Mar 08 2021 *) -
Sage
flatten([[1 if k==n else 0 if (k==1 or n%k==0) else -1 for k in [1..n]] for n in [1..12]]) # G. C. Greubel, Mar 08 2021