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Search: id:A054464
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| A054464 |
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Numbers n such that sum(k=1,n,d(k)) is an integer where d(k) is the decimal fraction 0.k (e.g. d(999)=0.999). |
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+0
2
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| 4, 34, 90, 175, 800, 2999, 3624, 30624, 60000, 390624, 499999, 4000000, 8890624, 17109375, 69999999, 200000000, 2787109375, 8999999999
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Further terms become very sparse, with no more through 36000000000. - Ryan Propper (rpropper(AT)stanford.edu), Aug 25 2005
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EXAMPLE
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0.1+0.2+0.3+0.4=1 hence 4 is in the sequence.
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MATHEMATICA
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Flatten[Position[IntegerQ /@ Table[ Sum[10^-Length[IntegerDigits[i]]*i, {i, j}], {j, 1, 50000}], True]] (from Vit Planocka)
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CROSSREFS
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Sequence in context: A102959 A057959 A053902 this_sequence A002101 A129557 A085695
Adjacent sequences: A054461 A054462 A054463 this_sequence A054465 A054466 A054467
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KEYWORD
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base,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 30 2003
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EXTENSIONS
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One more term from Vit Planocka (planocka(AT)mistral.cz), Sep 24 2003
Terms a(9) - a(15) from John W. Layman (layman(AT)math.vt.edu), Jun 03 2005
a(16) - a(18) from Ryan Propper (rpropper(AT)stanford.edu), Aug 25 2005
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