A190486 - OEIS

%I #18 Mar 12 2021 07:51:39

%S 2,7,12,14,19,24,31,36,41,43,48,53,60,65,70,72,77,82,84,89,94,101,106,

%T 111,113,118,123,130,135,140,142,147,152,159,164,171,176,181,183,188,

%U 193,200,205,210,212,217,222,229,234,239,241,246,251,253,258,263,270,275,280,282,287,292,299,304,309,311,316

%N Positions of 2 in A190483.

%C See A190483.

%H G. C. Greubel, <a href="/A190486/b190486.txt">Table of n, a(n) for n = 1..1000</a>

%t r = Sqrt[2]; b = 2; c = 1;

%t f[n_] := Floor[(b*n + c)*r] - b*Floor[n*r] - Floor[c*r];

%t t = Table[f[n], {n, 1, 200}]  (* A190483 *)

%t Flatten[Position[t, 0]]   (* A190484 *)

%t Flatten[Position[t, 1]]   (* A190485 *)

%t Flatten[Position[t, 2]]   (* A190486 *)

%o (Python)

%o from sympy import sqrt, floor

%o r=sqrt(2)

%o def a190483(n): return floor((2*n + 1)*r) - 2*floor(n*r) - floor(r)

%o print([n for n in range(1, 501) if a190483(n)==2]) # _Indranil Ghosh_, Jul 02 2017

%Y Cf. A190483, A190484, A190485.

%K nonn

%O 1,1

%A _Clark Kimberling_, May 11 2011