1,1

T(n,k)={nx}+{kx}-{nx+kx}, where x=sqrt(3) and { } denotes fractional part;, i.e., {r}=r-Floor(r).

Northwest corner:

1 1 0 1 1 1 0 1

1 0 0 1 1 0 0 1

0 0 0 1 0 0 0 1

1 1 1 1 1 1 1 1

1 1 0 1 1 1 0 1

1 0 0 1 1 0 0 1

T(3,3)=0 because 2{3x}-{6x}=0.

The antidiagonals form a triangle with these first six rows:

1

1 1

0 0 0

1 0 0 1

1 1 0 1 1

1 1 1 1 1 1

Cf. A126669, A126700.

Sequence in context: A016415 A127693 A129405 this_sequence A068431 A117908 A115360

Adjacent sequences: A126998 A126999 A127000 this_sequence A127002 A127003 A127004

nonn,tabl

Clark Kimberling (ck6(AT)evansville.edu), Jan 01 2007