%I #23 Jul 07 2024 14:32:39

%S 1,2,3,4,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,30,

%T 31,32,33,34,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,54,55,56,57,

%U 58,60,61,62,63,64,66,67,68,69,70,72,73,74,75,76,78,79,80,81,82,84,85

%N Beatty sequence for zeta(3).

%H Harry J. Smith, <a href="/A059537/b059537.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) = A047226(n+1), 1<=n<99. - _R. J. Mathar_, Oct 05 2008

%F a(n) = floor(n*zeta(3)). - _Michel Marcus_, Jan 04 2015

%t Floor[Range[100]*Zeta[3]] (* _Paolo Xausa_, Jul 07 2024 *)

%o (PARI) { default(realprecision, 100); b=zeta(3); for (n = 1, 2000, write("b059537.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 27 2009

%Y Beatty complement is A059538.

%Y Cf. A002117 (zeta(3)).

%K nonn,easy

%O 1,2

%A _Mitch Harris_, Jan 22 2001