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Zero-one fractional-part array for the golden ratio; a rectangular array T by antidiagonals.

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1

1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1 (list; table; graph; listen)

	OFFSET	`1,1`
	COMMENT	`(Row 1) = (Column 1) = A005614 (infinite Fibonacci word). (Row 2) = (Column 2) = A123740. (Main Diagonal) = A078588.`
	FORMULA	`T(n,k)={nx}+{kx}-{nx+kx}, where x=(1+sqrt(5))/2 and { } denotes fractional part;, i.e., {r}=r-Floor(r).`
	EXAMPLE	`Northwest corner:` `1 0 1 1 0 1 0 1 1` `0 0 1 0 0 0 0 1 0` `1 1 1 1 0 1 1 1 1` `1 0 1 0 0 1 0 1 1` `0 0 0 0 0 0 0 1 0` `1 0 1 1 0 1 1 1 1` `T(3,3)=1 because 2{3x}-{6x}=1.` `The antidiagonals form a triangle with these first six rows:` `1` `0 0` `1 0 1` `1 1 1 1` `0 0 1 0 0` `1 0 1 1 0 1`
	CROSSREFS	`Cf. A005614, A123740, A078588, A126700, A126701.` `Sequence in context: A010059 A011749 A104105 this_sequence A120527 A071004 A102560` `Adjacent sequences: A126996 A126997 A126998 this_sequence A127000 A127001 A127002`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Jan 01 2007`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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