This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A194666 #5 Mar 30 2012 18:57:43
%S A194666 1,0,0,0,2,0,3,0,2,0,6,0,5,0,8,0,9,0,10,0,11,0,10,0,13,0,11,0,8,0,16,
%T A194666 0,17,0,15,0,19,0,16,0,18,0,21,0,7,0,15,0,9,0,21,0,27,0,28,0,27,0,19,
%U A194666 0,11,0,24,0,29,0,9,0,23,0,18,0,6,0,16,0,39,0,39,0,32,0,2,0,6,0
%N A194666 Number of k in [1,n] for which <r^n>+<r^k> > 1, where < > = fractional part and r = sqrt(3).
%t A194666 r = Sqrt[3]; z = 13;
%t A194666 p[x_] := FractionalPart[x]; f[x_] := Floor[x];
%t A194666 w[n_, k_] := p[r^n] + p[r^k] - p[r^n + r^k]
%t A194666 Flatten[Table[w[n, k], {n, 1, z}, {k, 1, n}]]
%t A194666 TableForm[Table[w[n, k], {n, 1, z}, {k, 1, n}]]
%t A194666 s[n_] := Sum[w[n, k], {k, 1, n}] (* A194666 *)
%t A194666 Table[s[n], {n, 1, 100}]
%t A194666 h[n_, k_] := f[p[n*r] + p[k*r]]
%t A194666 Flatten[Table[h[n, k], {n, 1, z}, {k, 1, n}]]
%t A194666 (* A194667 *)
%t A194666 TableForm[Table[h[n, k], {n, 1, z}, {k, 1, n}]]
%t A194666 t[n_] := Sum[h[n, k], {k, 1, n}]
%t A194666 Table[t[n], {n, 1, 100}] (* A194668 *)
%K A194666 nonn
%O A194666 1,5
%A A194666 _Clark Kimberling_, Sep 01 2011