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

Author

Felice Russo

Keywords

• nonn

Links

• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A059539.

Programs

Mathematica

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

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

Formula

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

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

Extensions

More terms from Benoit Cloitre, Apr 16 2003