A038129 Beatty sequence for cube root of 2.

0, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 32, 34, 35, 36, 37, 39, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 76, 78, 79, 80, 81, 83, 84, 85, 86, 88, 89

Offset

0,3

Links

Table of n, a(n) for n=0..71.

Index entries for sequences related to Beatty sequences

Formula

a(n)=floor(n*1.2599210498..)

a(n)=floor(n*2^(1/3)) - Benoit Cloitre, Apr 16 2003

Mathematica

Floor[Range[0, 90]Surd[2, 3]] (* Harvey P. Dale, Mar 24 2019 *)

Prog

(PARI) a(n)=floor(n*2^(1/3))
(Python)
from sympy import integer_nthroot
def A038129(n): return integer_nthroot(2*n**3, 3)[0] # Chai Wah Wu, Mar 17 2021

Crossrefs

Cf. A059539.

Sequence in context: A001068 A039145 A242491 * A062071 A087069 A023737

Adjacent sequences: A038126 A038127 A038128 * A038130 A038131 A038132

Keyword

nonn

Author

Felice Russo

Extensions

More terms from Benoit Cloitre, Apr 16 2003

Status

approved