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%I A059537 #23 Jul 07 2024 14:32:39
%S A059537 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 A059537 31,32,33,34,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,54,55,56,57,
%U A059537 58,60,61,62,63,64,66,67,68,69,70,72,73,74,75,76,78,79,80,81,82,84,85
%N A059537 Beatty sequence for zeta(3).
%H A059537 Harry J. Smith, <a href="/A059537/b059537.txt">Table of n, a(n) for n = 1..2000</a>
%H A059537 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 A059537 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a>
%H A059537 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%F A059537 a(n) = A047226(n+1), 1<=n<99. - _R. J. Mathar_, Oct 05 2008
%F A059537 a(n) = floor(n*zeta(3)). - _Michel Marcus_, Jan 04 2015
%t A059537 Floor[Range[100]*Zeta[3]] (* _Paolo Xausa_, Jul 07 2024 *)
%o A059537 (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 A059537 Beatty complement is A059538.
%Y A059537 Cf. A002117 (zeta(3)).
%K A059537 nonn,easy
%O A059537 1,2
%A A059537 _Mitch Harris_, Jan 22 2001

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