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 A190672 #7 Mar 30 2012 18:57:28 %S A190672 2,1,1,2,2,1,0,2,1,1,0,2,1,1,2,2,1,1,2,2,1,0,2,1,1,0,2,1,1,2,2,1,1,2, %T A190672 1,1,0,2,1,1,0,2,1,1,2,2,1,1,2,1,1,0,2,1,1,2,2,1,1,2,2,1,0,2,1,1,0,2, %U A190672 1,1,2,2,1,1,2,2,1,0,2,1,1,0,2,1,1,2,2,1,1,2,1,1,0,2,1,1,0,2,1,1,2,2,1,0,2,1,1,0,2,1,1,2,2,1,1,2,2,1,0,2,1,1,0,2,1,1,2,2,1,1,2,1 %N A190672 [(bn+c)r]-b[nr]-[cr], where (r,b,c)=(sqrt(3),2,1) and [ ]=floor. %C A190672 Write 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. These b+1 position sequences comprise a partition of the positive integers. %C A190672 Examples: %C A190672 (golden ratio,2,1): A190427-A190430 %C A190672 (sqrt(2),2,0): A190480-A190482 %C A190672 (sqrt(2),2,1): A190483-A190486 %C A190672 (sqrt(2),3,0): A190487-A190490 %C A190672 (sqrt(2),3,1): A190491-A190495 %C A190672 (sqrt(2),3,2): A190496-A190500 %C A190672 (sqrt(2),4,c): A190544-A190566 %t A190672 r = Sqrt[3]; b = 2; c = 1; %t A190672 f[n_] := Floor[(b*n + c)*r] - b*Floor[n*r] - Floor[c*r]; %t A190672 t = Table[f[n], {n, 1, 200}] (* A190672 *) %t A190672 Flatten[Position[t, 0]] (* A190673 *) %t A190672 Flatten[Position[t, 1]] (* A190674 *) %t A190672 Flatten[Position[t, 2]] (* A190675 *) %Y A190672 Cf. A190673, A190674, A190675. %K A190672 nonn %O A190672 1,1 %A A190672 _Clark Kimberling_, May 16 2011