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A079591
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Decimal expansion of x such that Sum_{k>=1} x^Fibonacci(k) = 1.
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0
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3, 8, 9, 7, 0, 8, 0, 9, 8, 8, 3, 8, 9, 5, 4, 8, 9, 7, 2, 3, 3, 8, 2, 6, 9, 6, 4, 0, 7, 7, 6, 5, 2, 2, 2, 6, 0, 7, 1, 0, 9, 4, 2, 8, 4, 9, 0, 5, 8, 0, 1, 8, 3, 6, 6, 9, 6, 3, 6, 8, 2, 7, 8, 5, 2, 0, 4, 4, 3, 5, 1, 8, 9, 7, 0, 0, 2, 2, 1, 3, 1, 3, 6, 3, 9, 1, 7, 6, 1, 5, 8, 8, 2, 4, 3, 3, 1, 5, 7, 2, 1, 5, 9, 1, 9, 6
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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EXAMPLE
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0.3897080988389....
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MATHEMATICA
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digits = 106; Clear[f];
f[m_] := f[m] = Module[{s}, s[c_?NumericQ] := NSum[c^Fibonacci[k], {k, 1, m}, WorkingPrecision -> digits]; c /. FindRoot[s[c] == 1, {c, 1/2}, WorkingPrecision -> digits] // RealDigits // First];
f[1]; f[m = 2];
While[f[m] != f[m/2], m = 2 m; Print["m = ", m]];
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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