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A358503
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Positions inventory sequence: for stage k >= 2 we record where all the numbers from the two previous stages have appeared, starting with a(0) = 0, a(1) = 0.
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0
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0, 0, 0, 1, 1, 2, 3, 2, 3, 4, 5, 6, 4, 5, 7, 6, 8, 9, 10, 11, 7, 8, 9, 12, 10, 13, 11, 15, 14, 16, 17, 18, 19, 12, 13, 15, 14, 20, 16, 21, 17, 22, 18, 24, 19, 26, 23, 25, 28, 27, 29, 30, 31, 32, 20, 21, 22, 24, 26, 23, 33, 25, 34, 28, 36, 27, 35, 29, 38, 30, 40, 31, 42
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OFFSET
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0,6
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COMMENTS
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When the sequence is displayed as a triangle, the row corresponding to stage k >= 2 is a permutation of the numbers from Fibonacci(k) - 1 to Fibonacci(k+2) - 2.
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LINKS
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EXAMPLE
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As an irregular triangle, the sequence begins:
0;
0;
0, 1;
1, 2, 3;
2, 3, 4, 5, 6;
4, 5, 7, 6, 8, 9, 10, 11;
7, 8, 9, 12, 10, 13, 11, 15, 14, 16, 17, 18, 19;
...
At stage 5 we look at two previous stages 3 and 4 and see the
positions of 1's: 4;
positions of 2's: 5, 7;
positions of 3's: 6, 8;
positions of 4's: 9;
positions of 5's: 10;
positions of 6's: 11;
thus stage 5 is 4, 5, 7, 6, 8, 9, 10, 11.
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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