A127000 - OEIS

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A127000

Zero-one fractional-part array for sqrt(2); a rectangular array T by antidiagonals.

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	`Table of n, a(n) for n=1..105.`
	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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Last modified May 23 17:52 EDT 2013. Contains 225611 sequences.