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A183173
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Ordering of the numbers in set S generated by these rules: 2 is in S, and if n is in S then floor(r*n) and floor(s*n) are in S, where r=sqrt(2) and s=r/(r-1).
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3
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2, 6, 8, 11, 15, 20, 21, 27, 28, 29, 37, 38, 39, 41, 51, 52, 53, 55, 57, 68, 71, 72, 73, 74, 77, 80, 92, 95, 96, 99, 100, 101, 103, 104, 108, 113, 126, 129, 130, 133, 134, 135, 139, 140, 141, 142, 145, 147, 152, 159, 174, 177, 178, 180, 182
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OFFSET
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1,1
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COMMENTS
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The sequence results from flattening and sorting the tree at A183171. Complement of A183172, obtained from the tree at A183170.
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LINKS
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FORMULA
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MATHEMATICA
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nn=200; t={2}; r=Sqrt[2]; s=r/(r-1); t0=t; While[t=Select[Union[t, Floor[r*t], Floor[s*t]], # <= nn &]; t0 != t, t0=t]; t
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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