%I #10 Oct 09 2022 11:20:24
%S 3,6,13,17,23,27,30,37,40,47,51,54,61,64,71,75,81,85,88,95,99,105,109,
%T 112,119,122,129,133,139,143,146,153,157,163,167,170,177,180,187,191,
%U 194,201,204,211,215,221,225,228,235,238,245,249,252,259,262,269
%N a(n) = floor(r*floor(s*n)), where r = 2 + sqrt(2) and s = sqrt(2).
%C Conjecture: 1 < r*s*n - a(n) < 2 for n >= 1.
%t z = 140; r = 2 + Sqrt[2]; s = Sqrt[2]; f[x_] := Floor[r*Floor[s*x]];
%t Table[f[n], {n, 1, z}]
%t Table[Floor[(2+Sqrt[2])Floor[n Sqrt[2]]],{n,60}] (* _Harvey P. Dale_, Oct 09 2022 *)
%Y Cf. A002193, A341239, A341250.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Feb 13 2021