A081117 - OEIS

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A081117

Differences of Beatty sequence for cube root of 2.

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

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

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n)=floor((n+1)*2^(1/3))-floor(n*2^(1/3))

MATHEMATICA

With[{c=Surd[2, 3]}, Differences[Floor[Range[0, 110]c]]] (* Harvey P. Dale, Jan 30 2015 *)

PROG

(PARI) a(n)=floor((n+1)*2^(1/3))-floor(n*2^(1/3))

CROSSREFS