A081129 - OEIS

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A081129

Differences of Beatty sequence for cube root of 3.

1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = floor((n+1)*3^(1/3)) - floor(n*3^(1/3)).

MATHEMATICA

Differences[Floor[Range[0, 110]Surd[3, 3]]] (* Harvey P. Dale, Apr 06 2022 *)

PROG

(PARI) a(n)=floor((n+1)*3^(1/3))-floor(n*3^(1/3))

(Magma)