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A336018
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a(n) = floor(frac(log_2(n))*n), where frac denotes the fractional part.
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3
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0, 0, 1, 0, 1, 3, 5, 0, 1, 3, 5, 7, 9, 11, 13, 0, 1, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 27, 29, 0, 1, 2, 4, 6, 7, 9, 11, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 45, 47, 49, 52, 54, 56, 59, 61, 0, 1, 2, 4, 5, 7, 9, 10, 12, 13
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OFFSET
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1,6
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LINKS
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FORMULA
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a(n) = floor((log_2(n) - floor(log_2(n)))*n).
a(n) = 0 <=> n in { A000079 }. (End)
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MAPLE
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a:= n-> floor(n*log[2](n))-n*ilog2(n):
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MATHEMATICA
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a[n_]:=Floor[FractionalPart[Log[2, n]]*n];
Table[a[n], {n, 1, 100}]
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PROG
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(PARI) a(n) = floor(n*frac(log(n)/log(2))); \\ Michel Marcus, Jul 07 2020
(Python)
return len(bin(n**n//(2**((len(bin(n))-3)*n))))-3 # Chai Wah Wu, Jul 09 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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