OFFSET
0,1
LINKS
G. C. Greubel, Rows n = 0..50 of the triangle, flattened
FORMULA
EXAMPLE
Triangle begins
1;
0, 1;
1, 0, 1;
0, 0, 0, 1;
0, 0, 0, 0, 1;
0, 0, 0, 1, 0, 1;
1, 0, 0, 0, 0, 0, 1;
0, 1, 0, 0, 0, 0, 0, 1;
1, 0, 1, 0, 0, 0, 1, 0, 1;
0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1;
MATHEMATICA
T[n_, k_]:= Mod[Sum[JacobiSymbol[Binomial[n, j], 3]*JacobiSymbol[Binomial[n-j, k], 3], {j, 0, n}], 2];
Table[T[n, k], {n, 0, 15}, {k, 0, n}]//Flatten (* G. C. Greubel, Oct 29 2021 *)
PROG
(Sage)
def A117944(n, k): return ( sum(jacobi_symbol(binomial(n, j), 3)*jacobi_symbol(binomial(n-j, k), 3) for j in (0..n)) )%2
flatten([[A117944(n, k) for k in (0..n)] for n in (0..15)]) # G. C. Greubel, Oct 29 2021
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Apr 05 2006
STATUS
approved