A285685 - OEIS

A285685

Characteristic sequence of the Beatty sequence, A022839, of sqrt(5).

0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0

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OFFSET

COMMENTS

The positions of 0 are given by A108598, and of 1, by A022839.

LINKS

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

FORMULA

a(n) = 1 - floor((n+1)*(1-1/r) - floor(n*(1-1/r))), where r = sqrt(5). [corrected by Georg Fischer, Aug 31 2022]

MATHEMATICA

r = Sqrt[5]; 1 - Table[Floor[(n + 1) (1 - 1/r) - Floor[n (1 - 1/r)]], {n, 1, 200}]

CROSSREFS

Cf. A022839, A108598.