A184410 -id:A184410 - cp's OEIS frontend

A184411 Ranks of (even i)+j/r when all i+j/r are ranked; r=sqrt(2), i>=0, j>=0. Complement of A184410.

1, 2, 4, 6, 7, 9, 10, 13, 14, 17, 18, 19, 22, 23, 24, 28, 29, 30, 34, 35, 36, 37, 41, 42, 43, 45, 49, 50, 51, 53, 56, 58, 59, 60, 62, 65, 67, 68, 70, 72, 75, 77, 78, 80, 82, 84, 86, 88, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 118, 120

Offset: 1

Clark Kimberling, Jan 13 2011

nonn

			Writing (i,j) for i+j/r, the first 7 in the ranking are (0,0), (0,1), (1,0), (0,2), (1,1), (2,0), (0,3); the ranks where i is odd are 3,5 and the ranks where i is even are 1,2,4,6,7.

Cf. A184397, A184410, A184412, A184413, A184414, A184415, A184416.

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

Original entry on oeis.org

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

Clark Kimberling, Jan 13 2011

nonn

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

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

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).

cp's OEIS Frontend

A184411 Ranks of (even i)+j/r when all i+j/r are ranked; r=sqrt(2), i>=0, j>=0. Complement of A184410.

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