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Ranks of (even i)+(even j)*r when all i+j*r are ranked, where r=golden ratio, i>=0, j>=0.
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%I #14 Feb 22 2023 05:36:26

%S 1,4,7,9,14,17,19,23,27,30,35,38,40,43,49,53,55,59,63,66,70,73,77,82,

%T 85,90,93,95,98,103,107,112,116,118,121,127,131,133,137,141,143,147,

%U 153,158,160,164,168,171,175,178,182,187,189,194,198,201,206

%N Ranks of (even i)+(even j)*r when all i+j*r are ranked, where r=golden ratio, i>=0, j>=0.

%C Also the ranks of (even i)+(even j)/r, when all i+j/r are ranked, because 1/r = r-1. Complement of A184333.

%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 both i and j are even are a(1)=1, a(2)=4,

%e a(3)=7.

%Y Cf. A001622, A183987, A183988, A183989, A183990, A183991, A183993.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 08 2011