A117630 Complement of A056576.

2, 5, 8, 10, 13, 16, 18, 21, 24, 27, 29, 32, 35, 37, 40, 43, 46, 48, 51, 54, 56, 59, 62, 65, 67, 70, 73, 75, 78, 81, 83, 86, 89, 92, 94, 97, 100, 102, 105, 108, 111, 113, 116, 119, 121, 124, 127, 130, 132, 135, 138, 140, 143, 146, 149, 151, 154, 157, 159, 162, 165

Offset: 1

Author

Robert G. Wilson v, Apr 08 2006

Keywords

• nonn

Comments

A Beatty sequence.

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A054414, A056576.

Cf. A102525 (decimal expansion of log_3(2)).

Cf. A254312 (sequence arises as exponents in array definition).

Programs

Magma

[Floor(n*Log(3)/Log(3/2)): n in [1..80]]; // Vincenzo Librandi, Apr 17 2015

Maple

seq(floor(n*log[3/2](3)), n=1..100); # Robert Israel, Nov 09 2015

Mathematica

Table[Floor[n*Log[3/2, 3]], {n, 61}]

PARI

vector(100, n, floor(n*log(3)/log(3/2))) \\ Altug Alkan, Nov 10 2015

Python

from operator import sub
from sympy import integer_log
def A117630(n):
    def f(x): return n+sub(*integer_log(1<Chai Wah Wu, Oct 09 2024

Formula

a(n) = floor(n*log(3)/log(3/2)).

a(n) = A054414(n) - 1. - Ruud H.G. van Tol, May 10 2024