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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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11
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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
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OFFSET
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1,2
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COMMENTS
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This constant is irrational (Erdős and Graham, 1980). - Amiram Eldar, Apr 13 2020
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LINKS
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FORMULA
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Equals Sum_{j>=1} 1/lcm(1..j).
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EXAMPLE
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1.7877804561724665460649343260256627945939617472969608372530269929228902350...
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MATHEMATICA
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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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PROG
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(PARI) suminf(k=1, 1/lcm(vector(k, j, j))) \\ Michel Marcus, Mar 11 2018
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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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