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Search: id:A082851
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(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It seems that n/(2n-a(n)) is an integer for infinitely many values of n, see A082396.
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FORMULA
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Limit n->infinity a(n)/n = 2. Is (2-a(n)/n)*sqrt(n)*log(n) bounded?
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MAPLE
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A082850 := proc(n) option remember ; local m ; if n <= 3 then op(n, [1, 1, 2]) ; else m := ilog2(n+1) ; if n = 2^m -1 then m; else m := ilog2(n) ; return procname(n+1-2^m) ; end if ; end if; end proc:
A082851 := proc(n) add( A082850(i), i=1..n) ; end proc: seq(A082851(n), n=1..100) ; # R. J. Mathar, Nov 17 2009
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CROSSREFS
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Sequence in context: A093080 A059916 A099747 this_sequence A091207 A099247 A007192
Adjacent sequences: A082848 A082849 A082850 this_sequence A082852 A082853 A082854
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KEYWORD
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nonn,easy
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 14 2003
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EXTENSIONS
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Minor edits by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 17 2009
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