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A064859
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Decimal expansion of sum of reciprocals of LCM[1..n]=A003418(n).
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6
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1, 7, 8, 7, 7, 8, 0, 4, 5, 6, 1, 7, 2, 4, 6, 6, 5, 4, 6, 0, 6, 4, 9, 3, 4, 3, 2, 6, 0, 2, 5, 6, 6, 2, 7, 9, 4, 5, 9, 3, 9, 6, 1, 7, 4, 7, 2, 9, 6, 9, 6, 0, 8, 3, 7, 2, 5, 3, 0, 2, 6, 9, 9, 2, 9, 2, 2, 8, 9, 0, 2, 3, 5, 0, 8, 2, 2, 3, 2, 6, 1, 5, 5, 2, 8, 3, 3, 6, 8, 7, 8, 0, 8, 5, 6, 9, 7, 9, 7, 9, 9, 4, 6, 9, 5
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Larger than sum of reciprocals of factorials,[e-1] and since LCM increases exactly at powers of primes, so values are repeated [see A003418]. Thus proof of convergence is wanted however is believed.
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FORMULA
| a(n)=Sum{1/LCM[1...n], j=1..n}; n-th decimal digit
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EXAMPLE
| =1.7877804561724665460649343260256627945939617472969608372530269929228902350...
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MATHEMATICA
| f[n_] := LCM @@ Range@ n; RealDigits[Plus @@ (1/Array[f, 255]), 10, 111][[1]] (* Robert G. Wilson v, Jul 11 2011 *)
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CROSSREFS
| A003418, A064857, A064858.
Sequence in context: A154192 A011283 A179659 * A010728 A153856 A094819
Adjacent sequences: A064856 A064857 A064858 * A064860 A064861 A064862
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KEYWORD
| nonn,cons
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Oct 08 2001
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