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 A184412 #8 Oct 16 2024 06:02:31 %S A184412 4,3,2,4,1,4,3,2,3,4,2,1,4,3,1,2,4,3,4,2,1,3,4,3,2,1,2,4,3,4,1,2,1,4, %T A184412 3,4,3,2,1,2,3,4,3,2,4,1,2,1,4,3,4,1,3,2,1,4,2,3,4,3,2,4,1,2,3,1,4,3, %U A184412 2,4,1,3,2,1,4,2,3,4,1,3,2,4,1,4,2,3,2,4,3,2,4,1,3,2,3,1 %N A184412 "Types" (parities of i and j) when all the numbers i+j/r are ranked, where r=sqrt(2), i>=0, j>=0. %F A184412 Let s(n)=i(n)+j(n)/r be the sequence obtained by arranging in increasing order all the numbers i+j/r, where %F A184412 r=sqrt(2) and i>=0, j>=0. Then %F A184412 a(n)=1 if i(n) is odd and j(n) is odd (n in A184399); %F A184412 a(n)=2 if i(n) is odd and j(n) is even (n in A184401); %F A184412 a(n)=3 if i(n) is even and j(n) is odd (n in A184400); %F A184412 a(n)=r if i(n) is even and j(n) is even (n in A184402). %e A184412 See the examples at A184399-A184402 and A184410-A184411. %Y A184412 Cf. A184399-A184403, A184410, A184411, A183993. %K A184412 nonn %O A184412 1,1 %A A184412 _Clark Kimberling_, Jan 13 2011