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%I #4 Mar 30 2012 18:57:13
%S 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 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 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 "Types" (parities of i and j) when all the numbers i+j/r are ranked, where r=sqrt(2), i>=0, j>=0.
%F 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 r=sqrt(2) and i>=0, j>=0. Then
%F a(n)=1 if i(n) is odd and j(n) is odd (n in A184399);
%F a(n)=2 if i(n) is odd and j(n) is even (n in A184401);
%F a(n)=3 if i(n) is even and j(n) is odd (n in A184400);
%F a(n)=r if i(n) is even and j(n) is even (n in A184402).
%e (See the examples at A184399-A184402 and A184410-A184411.
%Y Cf. A184399-A184403, A184410, A184411, A183993.
%K nonn
%O 1,1
%A _Clark Kimberling_, Jan 13 2011
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