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Search: id:A160502
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| A160502 |
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Decimal expansion of the (finite) value of the sum_{ k >= 1, k has only a single zero digit in base 2 } 1/k. |
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+0
1
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| 1, 4, 6, 2, 5, 9, 0, 7, 3, 5, 0, 4, 4, 3, 6, 4, 6, 9, 9, 5, 4, 6, 1, 4, 5, 4, 4, 6, 7, 2, 0, 5, 3, 4, 6, 2, 1, 0, 7, 4, 7, 4, 4, 8, 6, 4, 7, 4, 8, 8, 2, 1, 1, 0, 9, 3, 6, 4, 2, 0, 0, 6, 2, 4, 3, 5, 4, 5, 2, 2, 9, 4, 3, 7, 8, 5, 8, 8, 1, 5, 0, 3, 5, 5, 2, 1, 9, 2, 9, 2, 2, 1, 5, 9, 2, 4, 0, 8, 9, 2, 3, 6, 9, 7, 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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The sum of 1/n where n has a single 0 in base 2.
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LINKS
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Baillie, Revised August 17, 2008, Summing The Curious Series Of Kempner And Irwin
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FORMULA
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Sum {n = 2..inf} Sum {k = 0..n-2}, 1/(2^n-1-2^k).
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EXAMPLE
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=1.462590735044364699546145446720534621074744864748821109364200624354522943785881503552192922159240892369758196488145931267261898...
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MATHEMATICA
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RealDigits[ N[ Sum[1/(2^n - 1 - 2^k), {n, 2, 400}, {k, 0, n - 2}], 111]][[1]]
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CROSSREFS
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Cf. A140502.
Sequence in context: A077158 A059854 A155991 this_sequence A010669 A029677 A045867
Adjacent sequences: A160499 A160500 A160501 this_sequence A160503 A160504 A160505
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KEYWORD
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base,cons,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), May 15 2009
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