A060038 Triangle T(n,k) = 0 if k-th prime is a square mod the n-th prime, otherwise 1, for 1<=k<n.

1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1

Offset

2,1

Links

Table of n, a(n) for n=2..106.

Example

1; 1,1; 0,1,1; 1,0,0,1; ... [The third row is 0,1,1 because mod 7, 2 is a square but 3 and 5 are not]

Mathematica

t[n_, k_] := Boole[ Reduce[ Mod[Prime[k] - j^2, Prime[n]] == 0, j, Integers] === False]; Flatten[ Table[ t[n, k], {n, 2, 15}, {k, 1, n - 1}]] (* Jean-François Alcover, May 16 2012 *)

Crossrefs

Cf. A060039.

Sequence in context: A253206 A133639 A323154 * A197774 A219009 A353519

Adjacent sequences: A060035 A060036 A060037 * A060039 A060040 A060041

Keyword

nonn,tabl,easy,nice

Author

N. J. A. Sloane, Mar 17 2001

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Mar 20 2001

Status

approved