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A143070
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A positive integer n is included if the number of 0's in the binary representation of n is a power of 2 (including being possibly 1).
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2
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2, 4, 5, 6, 9, 10, 11, 12, 13, 14, 16, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 33, 34, 36, 39, 40, 43, 45, 46, 47, 48, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 67, 69, 70, 73, 74, 76, 79, 81, 82, 84, 87, 88, 91, 93, 94, 95, 97, 98, 100, 103, 104, 107, 109, 110, 111, 112, 115
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 34 in binary is 100010. This has 4 zeros. And since 4 is a power of 2, 34 is included in the sequence.
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MAPLE
| a:=proc(n) local nn, n0: nn:=convert(n, base, 2): n0:=nops(nn)-add(nn[j], j=1.. nops(nn)): if 0 < n0 and type(log[2](n0), integer)=true then n else end if end proc: seq(a(n), n=1..100); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 11 2008]
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CROSSREFS
| Cf. A023416, A143071, A143072.
Sequence in context: A169884 A072726 A153242 * A005528 A050015 A153218
Adjacent sequences: A143067 A143068 A143069 * A143071 A143072 A143073
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KEYWORD
| base,nonn
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AUTHOR
| Leroy Quet Jul 22 2008
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 11 2008
a(61)-a(68) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 20 2009
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