%I #25 Jul 05 2024 09:25:50

%S 1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,

%T 29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,

%U 54,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96

%N Beatty sequence for log(3).

%C Differs from A160542 at indices n=81, 91, 101, 111, 121, 131, 141, 151, 152, 161 etc. - _R. J. Mathar_, May 20 2009

%H Harry J. Smith, <a href="/A059543/b059543.txt">Table of n, a(n) for n = 1..2000</a>

%H Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, <a href="http://dx.doi.org/10.1016/0012-365X(72)90012-X">Characterization of the set of values f(n)=[n alpha], n=1,2,...</a>, Discrete Math. 2 (1972), no.4, 335-345.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a>

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

%F a(n) = floor(n*A002391). - _Paolo Xausa_, Jul 05 2024

%p A059543 := proc(n)

%p floor(n*log(3)) ;

%p end proc:

%p seq(A059543(n),n=1..100) ; # _R. J. Mathar_, Jun 26 2023

%t Floor[Range[100]*Log[3]] (* _Paolo Xausa_, Jul 05 2024 *)

%o (PARI) { default(realprecision, 100); b=log(3); for (n = 1, 2000, write("b059543.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009

%Y Beatty complement is A059544.

%Y Cf. A002391 (log(3)).

%Y Cf. A160542.

%K nonn,easy

%O 1,2

%A _Mitch Harris_, Jan 22 2001