The On-Line Encyclopedia of Integer Sequences (OEIS)

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A081117

Differences of Beatty sequence for cube root of 2.
(history; published version)

#7 by Harvey P. Dale at Fri Jan 30 13:17:00 EST 2015

STATUS

editing

approved

#6 by Harvey P. Dale at Fri Jan 30 13:16:54 EST 2015

MATHEMATICA

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

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:39:16 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Apr 16 2003

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

nonn,new

nonn

AUTHOR

Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), Apr 16 2003

#3 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

KEYWORD

nonn,new

nonn

AUTHOR

Benoit Cloitre (abcloitreabmt(AT)modulonetwanadoo.fr), Apr 16 2003

#2 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

KEYWORD

nonn,new

nonn

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoomodulonet.fr), Apr 16 2003

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Differences of Beatty sequence for cube root of 2.

DATA

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

OFFSET

0,4

FORMULA

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

PROG

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

KEYWORD

nonn

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoo.fr), Apr 16 2003

STATUS

approved