A184403 "Types" (parities of i and j) when all the numbers i+j*r are ranked, where r=sqrt(2), i>=0, j>=0.

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, 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, 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

Offset: 1

Author

Clark Kimberling, Jan 12 2011

Keywords

• nonn

Examples

			(See the examples at A184399-A184402.)
		

Crossrefs

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

Formula

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

r=2^(1/2) and i>=0, j>=0. Then

a(n)=1 if i(n) is odd and j(n) is odd (n in A184399);

a(n)=2 if i(n) is odd and j(n) is even (n in A184400);

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

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