A066344 Beatty sequence for log_5(10).

1, 2, 4, 5, 7, 8, 10, 11, 12, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 45, 47, 48, 50, 51, 52, 54, 55, 57, 58, 60, 61, 62, 64, 65, 67, 68, 70, 71, 72, 74, 75, 77, 78, 80, 81, 82, 84, 85, 87, 88, 90, 91, 92, 94, 95, 97, 98, 100

Offset: 1

Author

Vladeta Jovovic, Dec 15 2001

Keywords

• easy
• nonn

Comments

Beatty complement of A066343. - Jianing Song, Jan 27 2019

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Beatty Sequence.
• Index entries for sequences related to Beatty sequences.

Crossrefs

Cf. A066343, A154156 (log_5(10)).

Programs

Mathematica

Floor[Range[100]*Log[5, 10]] (* Paolo Xausa, Jul 08 2024 *)

PARI

{ l=log(10)/log(5); for (n=1, 1000, a=floor(n*l); write("b066344.txt", n, " ", a) ) } \\ Harry J. Smith, Feb 11 2010

Python

from sympy import integer_log
def A066344(n): return integer_log(1<Chai Wah Wu, Sep 08 2024

Formula

a(n) = floor(n*log_5(10)).