A184412 "Types" (parities of i and j) when all the numbers i+j/r are ranked, where r=sqrt(2), i>=0, j>=0.

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, 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, 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

Offset: 1

Author

Clark Kimberling, Jan 13 2011

Keywords

• nonn

Examples

			See the examples at A184399-A184402 and A184410-A184411.
		

Crossrefs

Cf. A184399-A184403, A184410, A184411, A183993.

Formula

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

r=sqrt(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 A184401);

a(n)=3 if i(n) is even and j(n) is odd (n in A184400);

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