%I #24 Jul 05 2024 09:25:18
%S 2,4,7,9,12,14,17,19,21,24,26,29,31,34,36,39,41,43,46,48,51,53,56,58,
%T 61,63,65,68,70,73,75,78,80,83,85,87,90,92,95,97,100,102,105,107,109,
%U 112,114,117,119,122,124,127,129,131,134,136,139,141,144,146,149,151
%N Beatty sequence for 1 + 1/log(2).
%H Harry J. Smith, <a href="/A059542/b059542.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*(1+1/log(2))). - _Michel Marcus_, Jan 04 2015
%F a(n) = n+A307513(n). - _R. J. Mathar_, Jan 04 2020
%t Floor[Range[100]*(1 + 1/Log[2])] (* _Paolo Xausa_, Jul 05 2024 *)
%o (PARI) { default(realprecision, 100); b=1 + 1/log(2); for (n = 1, 2000, write("b059542.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009
%Y Beatty complement is A059541.
%Y Cf. A002162, A007525.
%K nonn,easy
%O 1,1
%A _Mitch Harris_, Jan 22 2001