A059550 - OEIS

%I #22 Jul 05 2024 17:23:43

%S 3,6,9,13,16,19,23,26,29,33,36,39,42,46,49,52,56,59,62,66,69,72,75,79,

%T 82,85,89,92,95,99,102,105,108,112,115,118,122,125,128,132,135,138,

%U 142,145,148,151,155,158,161,165,168,171,175,178,181,184,188,191,194,198,201,204,208,211,214,217,221,224,227,231,234,237,241,244,247,250,254,257

%N Beatty sequence for 1 + log(10).

%H Harry J. Smith, <a href="/A059550/b059550.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 + A002392)). - _Paolo Xausa_, Jul 05 2024

%t Floor[Range[100]*(1 + Log[10])] (* _Paolo Xausa_, Jul 05 2024 *)

%o (PARI) { default(realprecision, 100); b=1 + log(10); for (n = 1, 2000, write("b059550.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009

%Y Beatty complement is A059549. Differs from A080081 at 76th term.

%Y Cf. A002392.

%K nonn,easy

%O 1,1

%A _Mitch Harris_, Jan 22 2001