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Search: id:A064859
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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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+0
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; cons; graph; listen)
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OFFSET
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1,2
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COMMENT
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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
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a(n)=Sum{1/LCM[1...n], j=1..n}; n-th decimal digit
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EXAMPLE
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1.78778045617246654606493432602566279459396174729...
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MATHEMATICA
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q[x_] := Apply[LCM, Table[j, {j, 1, x}]] c=N[Apply[Plus, Table[1/q[w], {w, 1, 2048}]], 2048]
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CROSSREFS
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A003418, A064857, A064858.
Sequence in context: A021931 A100264 A011283 this_sequence A010728 A094819 A019861
Adjacent sequences: A064856 A064857 A064858 this_sequence A064860 A064861 A064862
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KEYWORD
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nonn,cons
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Oct 08 2001
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