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A160145
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a(n) = the odd number 2n+1 minus the numerator of (2n+1)/(2^(2n+1)-1).
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4
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 150
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OFFSET
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0,11
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COMMENTS
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Explains the similarity of the sequences A009843 and A160143. (Cf. also the pair A036279 and A156769.) The first nonzero values occur at n = 10, 31, 52 and 73.
Previous name was: Odd numbers 2n+1 minus the numerators of (2n+1)/(4^(2n+1)-2^(2n+1)), (A005408 - A160144). - Altug Alkan, Apr 21 2018
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LINKS
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FORMULA
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MAPLE
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seq((2*n+1)-numer((2*n+1)/(4^(2*n+1)-2^(2*n+1))), n=0..77);
seq((2*n+1)-numer((2*n+1)/(2^(2*n+1)-1)), n=0..100); # Altug Alkan, Apr 21 2018
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MATHEMATICA
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Array[# - Numerator[#/(2^# - 1)] &[2 # + 1] &, 78, 0] (* Michael De Vlieger, Apr 21 2018 *)
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PROG
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(PARI) forstep(k=1, 1e2, 2, print1(k - numerator(k/(2^k-1)), ", ")); \\ Altug Alkan, Apr 21 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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