A183990 - OEIS

%I #13 Oct 11 2013 20:45:38

%S 2,6,10,13,18,22,24,29,33,36,42,45,47,51,57,61,64,68,72,75,80,83,87,

%T 92,96,101,104,106,109,115,119,124,128,130,134,140,144,146,150,154,

%U 157,161,167,172,174,179,183,186,190,193,197,202

%N 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.

%C 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.]

%e Writing (i,j) for i+r*j, the first 7 in the ranking are

%e (0,0), (1,0), (0,1), (2,0), (1,1), (3,0), (0,2);

%e 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.

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

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 08 2011