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 A190886 #10 Jul 10 2020 03:51:10 %S A190886 1,2,3,4,0,2,3,4,0,1,2,4,0,1,2,3,0,1,2,3,4,0,2,3,4,0,1,3,4,0,1,2,3,0, %T A190886 1,2,3,4,1,2,3,4,0,1,3,4,0,1,2,4,0,1,2,3,4,1,2,3,4,0,2,3,4,0,1,2,4,0, %U A190886 1,2,3,4,1,2,3,4,0,2,3,4,0,1,2,4,0,1,2,3,0,1,2,3,4,0,2,3,4,0,1,3,4,0,1,2,3,0,1,2,3,4,1,2,3,4,0,1,3,4,0,1,2,4,0,1,2,3,4,1,2,3,4,0 %N A190886 a(n) = [5nr]-5[nr], where r=sqrt(5). %C A190886 In general, suppose that a(n)=[(bn+c)r]-b[nr]-[cr]. If r>0 and b and c are integers satisfying b>=2 and 0<=c<=b-1, then 0<=a(n)<=b. The positions of 0 in the sequence a are of interest, as are the position sequences for 1,2,...,b. For c=0, there are b of these position sequences, and they comprise a partition of the positive integers. %F A190886 a(n) = [5nr]-5[nr], where r=sqrt(5). %t A190886 r = Sqrt[5]; %t A190886 f[n_] := Floor[5n*r] - 5*Floor[n*r] %t A190886 t = Table[f[n], {n, 1, 400}] (* A190886 *) %t A190886 Flatten[Position[t, 0]] (* A190887 *) %t A190886 Flatten[Position[t, 1]] (* A190888 *) %t A190886 Flatten[Position[t, 2]] (* A190889 *) %t A190886 Flatten[Position[t, 3]] (* A190890 *) %t A190886 Flatten[Position[t, 4]] (* A190891 *) %Y A190886 Cf. A190887, A190888, A190889, A190890, A190891. %K A190886 nonn %O A190886 1,2 %A A190886 _Clark Kimberling_, May 26 2011