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1, 2, 4, 5, 6, 8, 11, 12, 13, 15, 16, 17, 19, 22, 26, 27, 28, 30, 31, 32, 34, 37, 38, 39, 41, 42, 43, 45, 48, 52, 57, 58, 59, 61, 62, 63, 65, 68, 69, 70, 72, 73, 74, 76, 79, 83, 84, 85, 87, 88, 89, 91, 94, 95, 96, 98, 99, 100, 102, 105, 109, 114, 120, 121, 122, 124, 125, 126
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OFFSET
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1,2
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COMMENTS
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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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LINKS
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FORMULA
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Limit_{n->oo} 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:
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MATHEMATICA
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A082850[n_] := A082850[n] = Module[{m}, If[n <= 3, {1, 1, 2}[[n]], m = Floor@Log2[n + 1]; If[n == 2^m - 1, m, m = Floor@Log2[n]; Return @ A082850[n + 1 - 2^m]]]];
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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