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A371134
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Decimal expansion of Sum_{squarefree k>=1} k / 2^k.
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1
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1, 6, 9, 7, 9, 0, 7, 8, 1, 9, 7, 7, 9, 6, 2, 5, 0, 6, 4, 4, 6, 4, 2, 4, 0, 8, 9, 9, 6, 5, 3, 4, 7, 8, 9, 1, 8, 4, 3, 6, 3, 5, 1, 5, 3, 1, 8, 8, 6, 2, 4, 7, 2, 6, 3, 4, 0, 6, 9, 9, 8, 6, 0, 8, 9, 0, 8, 9, 5, 4, 1, 2, 9, 0, 6, 1, 4, 3, 9, 7, 7, 3, 9, 2, 0, 3, 0, 0, 8, 6, 5, 3, 4, 4, 7, 1, 8, 7, 7, 5, 2, 9, 5, 0, 4
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OFFSET
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1,2
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COMMENTS
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Erdős (1981) conjectured and Chen and Ruzsa (1999) proved that this constant is irrational.
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LINKS
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FORMULA
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Equals Sum_{k>=1} k * mu(k)^2 / 2^k.
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EXAMPLE
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1.69790781977962506446424089965347807016709423133847...
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MATHEMATICA
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RealDigits[Sum[n/2^n, {n, Select[Range[1000], SquareFreeQ]}], 10, 120][[1]]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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