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A089809 Complement of A078588. 4
0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = 1 if (fractional part of n*r) < 1/2, else a(n) = 0, where r = golden ratio = (1 + sqrt(5))/2. - Clark Kimberling, Dec 27 2016

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

FORMULA

1. a(n) = 1 if A078588 = 0; otherwise, not. 2. a(n) = 1 iff A024569 is not 1. 3. a(n) = 1 iff A089808 is 1.

a(n) = 1 if (fractional part of n*r) < 1/2, else a(n) = 0. - Clark Kimberling, Dec 27 2016

EXAMPLE

1. a(7) = 1 since A078588(7) = 0

2. a(7) = 1 since A024569 is not 1 (A024569(7) = 3).

3. a(7) = 1 since A089808(7) = 1.

MATHEMATICA

r = GoldenRatio; z = 500;

Table[If[FractionalPart[n r] < 1/2, 1, 0 ], {n, 1, z}]  (* A089809 *)

Table[If[FractionalPart[n r] > 1/2, 1, 0 ], {n, 1, z}]  (* A078588 *)

1 - % (* A089809,  Clark Kimberling, Dec 27 2016 *)

CROSSREFS

Cf. A078588, A024569, A089808.

Sequence in context: A324681 A285249 A269027 * A165211 A188027 A193496

Adjacent sequences:  A089806 A089807 A089808 * A089810 A089811 A089812

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Nov 11 2003

STATUS

approved

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Last modified December 15 11:43 EST 2019. Contains 329999 sequences. (Running on oeis4.)