%I #4 Mar 30 2012 18:57:13

%S 4,2,3,4,1,4,2,3,2,4,3,1,4,2,1,3,4,2,4,3,1,2,4,2,3,1,3,4,2,4,1,3,1,4,

%T 2,4,2,3,1,3,2,4,2,3,4,1,3,1,4,2,4,1,2,3,1,4,3,2,4,2,3,4,1,3,2,1,4,2,

%U 3,4,1,2,3,1,4,3,2,4,1,2,3,4,1,4,3,2,1,4,2,3,4,1,2,3,2,1

%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)+r*j(n) be the sequence obtained by arranging in increasing order all the numbers i+j*r, where

%F r=2^(1/2) 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 A184400);

%F a(n)=3 if i(n) is even and j(n) is odd (n in A184401);

%F a(n)=4 if i(n) is even and j(n) is even (n in A184402).

%e (See the examples at A184399-A184402.)

%Y Cf. A183993, A184338, A184397, A184398, A184399, A184400, A184401, A184402.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 12 2011