%I #21 Jul 05 2024 17:20:32
%S 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,
%T 37,38,40,41,43,44,45,47,48,50,51,53,54,55,57,58,60,61,63,64,65,67,68,
%U 70,71,73,74,76,77,78,80,81,83,84,86,87,88,90,91,93,94,96,97,98,100
%N Beatty sequence for 1 + 1/log(10).
%H Harry J. Smith, <a href="/A059549/b059549.txt">Table of n, a(n) for n = 1..2000</a>
%H Aviezri S. Fraenkel, Jonathan Levitt and 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*(1 + 1/log(10))). - _Michel Marcus_, Jan 04 2015
%t Floor[Range[100]*(1 + Log10[E])] (* _Paolo Xausa_, Jul 05 2024 *)
%o (PARI) { default(realprecision, 100); b=1 + 1/log(10); for (n = 1, 2000, write("b059549.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009
%Y Beatty complement is A059550.
%Y Cf. A002285.
%K nonn,easy
%O 1,2
%A _Mitch Harris_, Jan 22 2001