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%I #16 Sep 08 2022 08:46:17
%S 1,2,3,4,6,7,8,9,11,12,13,14,15,17,18,19,20,22,23,24,25,26,28,29,30,
%T 31,33,34,35,36,37,39,40,41,42,44,45,46,47,48,50,51,52,53,55,56,57,58,
%U 60,61,62,63,64,66,67,68,69,71,72,73,74,75,77,78,79,80,82,83,84,85,86
%N Beatty sequence for sqrt(6)/2.
%C Eggleton et al. show that k is in this sequence if and only if A277515(k)=3.
%D R. B. Eggleton, J. S. Kimberley and J. A. MacDougall, Square-free rank of integers, submitted.
%H Jason Kimberley, <a href="/A277644/b277644.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = floor(n*sqrt(6)/2).
%F a(n) = A000196(A032528(n)).
%e a(5)=6 because the quotient of 3*5^2 by 2 is 37 which lies between 6^2 and 7^2.
%o (Magma) [Isqrt(3*n^2 div 2): n in [1..60]];
%Y Complement of A277645.
%K nonn,easy
%O 1,2
%A _Jason Kimberley_, Oct 26 2016
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