%I #15 Mar 26 2022 17:46:11
%S 1,2,4,5,7,8,10,11,13,14,15,17,18,20,21,23,24,26,27,28,30,31,33,34,36,
%T 37,39,40,42,43,44,46,47,49,50,52,53,55,56,57,59,60,62,63,65,66,68,69,
%U 71,72,73,75,76,78,79,81,82,84,85,86,88,89,91,92,94,95,97,98
%N Beatty sequence for -1+sqrt(6), a(n) = floor(n*(-1+sqrt(6))); complement of A194146.
%C Beatty sequence for 1.449489742783...
%C Beatty sequences occur in complementary pairs; the complement of this is the Beatty sequence for 2+(1/2)*sqrt(6), at A194146.
%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%t r=-1+Sqrt[6];
%t c[k_]:=Floor[k*r];
%t Table[c[k],{k,1,90}] (* A194145 *)
%t s=r/(r-1);
%t d[k_]:=Floor[k*s];
%t Table[d[k],{k,1,90}] (* A194146 *)
%o (Python)
%o from sympy import integer_nthroot
%o def A194145(n): return integer_nthroot(6*n**2,2)[0]-n # _Chai Wah Wu_, Mar 16 2021
%Y Cf. A194146.
%K nonn
%O 1,2
%A _Clark Kimberling_, Aug 17 2011