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A051204
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Nonnegative numbers of the form x^2-2^y.
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23
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0, 1, 2, 3, 4, 5, 7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 23, 24, 28, 32, 33, 34, 35, 36, 41, 45, 47, 48, 49, 56, 57, 60, 62, 63, 64, 65, 68, 73, 77, 79, 80, 84, 89, 92, 96, 97, 98, 99, 105, 112, 113, 117, 119, 120, 128, 129, 132, 136, 137, 140, 142, 143, 144, 153, 161, 164
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OFFSET
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1,3
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LINKS
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FORMULA
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EXAMPLE
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5 is in the sequence because 5 can be written as 3^2-2^2
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MATHEMATICA
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max = 200; Clear[f]; f[m_] := f[m] = Select[Table[x^2 - 2^y, {y, 0, m}, {x, Floor[2^(y/2)], Ceiling[Sqrt[2^y + max]]}] // Flatten // Union, 0 <= # <= max &]; f[1]; f[m = 2]; While[f[m] != f[m/2], m = 2 m]; Print["m = ", m]; A051204 = f[m] (* Jean-François Alcover, May 13 2017 *)
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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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