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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.
7
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.]
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 08 2011
STATUS
approved