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A190236 a(n) = [n*u + n*v] -[n*u] -[n*v], where u=1/2, v=(1+sqrt(5))/2, and []=floor. 3
1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

u = 1/2; v = GoldenRatio;

f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]

t = Table[f[n], {n, 1, 120}] (* A190236 *)

Flatten[Position[t, 0]]      (* A190237 *)

Flatten[Position[t, 1]]      (* A190238 *)

Table[Floor[n*(2 + Sqrt[5])/2] - Floor[n/2] - Floor[n*(1 + Sqrt[5])/2], {n, 1, 50}] (* G. C. Greubel, Dec 27 2017 *)

PROG

(PARI) for(n=1, 30, print1(floor(n*(2 + sqrt(5))/2) - floor(n/2) - floor(n*(1 + sqrt(5))/2), ", ")) \\ G. C. Greubel, Dec 27 2017

(MAGMA) [Floor(n*(1+Sqrt(5))/2) - Floor(n/2) - Floor(n*(1+Sqrt(5))/2): n in [1..30]]; // G. C. Greubel, Dec 27 2017

CROSSREFS

Cf. A190237, A190238.

Sequence in context: A225569 A087032 A236677 * A190224 A321692 A102242

Adjacent sequences:  A190233 A190234 A190235 * A190237 A190238 A190239

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 06 2011

STATUS

approved

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Last modified June 18 16:47 EDT 2021. Contains 345120 sequences. (Running on oeis4.)