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%I #25 Jul 06 2024 15:18:19
%S 1,3,4,6,8,9,11,13,14,16,18,19,21,23,24,26,27,29,31,32,34,36,37,39,41,
%T 42,44,46,47,49,50,52,54,55,57,59,60,62,64,65,67,69,70,72,74,75,77,78,
%U 80,82,83,85,87,88,90,92,93,95,97,98,100,101,103,105,106,108,110,111
%N Beatty sequence for Pi^2/6, or zeta(2).
%H Harry J. Smith, <a href="/A059535/b059535.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*A013661). - _Paolo Xausa_, Jul 06 2024
%t Floor[Range[100]*Zeta[2]] (* _Paolo Xausa_, Jul 06 2024 *)
%o (PARI) { default(realprecision, 100); b=zeta(2); for (n = 1, 2000, write("b059535.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 27 2009
%Y Cf. A013661. Beatty complement is A059536.
%K nonn,easy
%O 1,2
%A _Mitch Harris_, Jan 22 2001
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