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 A127000 Zero-one fractional-part array for sqrt(2); a rectangular array T by antidiagonals. 0
 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA T(n,k)={nx}+{kx}-{nx+kx}, where x=sqrt(2) and { } denotes fractional part;, i.e., {r}=r-Floor(r). EXAMPLE Northwest corner: 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 T(3,3)=0 because 2{3x}-{6x}=0. The antidiagonals form a triangle with these first six rows: 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 CROSSREFS Cf. A126669, A126701. Sequence in context: A174207 A048820 A144101 * A103226 A080886 A083924 Adjacent sequences:  A126997 A126998 A126999 * A127001 A127002 A127003 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Jan 01 2007 STATUS approved

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