A183990 Indices of pairs with (odd i, even j) in list of pairs (i,j) ordered by value of i+j*r, where r=(1+sqrt(5))/2, i>=0, j>=0.

2, 6, 10, 13, 18, 22, 24, 29, 33, 36, 42, 45, 47, 51, 57, 61, 64, 68, 72, 75, 80, 83, 87, 92, 96, 101, 104, 106, 109, 115, 119, 124, 128, 130, 134, 140, 144, 146, 150, 154, 157, 161, 167, 172, 174, 179, 183, 186, 190, 193, 197, 202

Offset

1,1

Comments

This is obviously the same as rankings of (even i, odd j) when ordered according to i+j/r, since the position of the pair in the original list does not matter. [Observation of Charles R Greathouse IV, Feb 13 2011.]

Links

Table of n, a(n) for n=1..52.

Example

Writing (i,j) for i+r*j, the first 7 in the ranking are
(0,0), (1,0), (0,1), (2,0), (1,1), (3,0), (0,2);
the ranks where i is odd and j is even are a(1)=2 and a(2)=6. If sorted according to the value of i+j/r, the list is the same with i,j exchanged.

Crossrefs

Cf. A183987, A183988, A183989, A183991, A183992, A183993.

Sequence in context: A184918 A332987 A023419 * A049838 A074929 A095270

Adjacent sequences: A183987 A183988 A183989 * A183991 A183992 A183993

Keyword

nonn

Author

Clark Kimberling, Jan 08 2011

Status

approved