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Search: id:A157971
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| A157971 |
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Odious twin locations: first members of pairs of consecutive odious numbers. |
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+0
4
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| 1, 7, 13, 21, 25, 31, 37, 41, 49, 55, 61, 69, 73, 81, 87, 93, 97, 103, 109, 117, 121, 127, 133, 137, 145, 151, 157, 161, 167, 173, 181, 185, 193, 199, 205, 213, 217, 223, 229, 233, 241, 247, 253, 261, 265, 273, 279, 285, 289, 295
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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An odious number (A000069) is a non-negative integer with an odd number of ones in its binary expansion.
In the reference it is shown that these odious twins alternate with the evil twins (see A157970), which are pairs of consecutive odious numbers (A000069) having an odd number of ones in their binary expansions).
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REFERENCES
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Chris Bernhardt, "Evil Twins Alternate with Odious Twins", Math. Mag. 82 (2009) 57-62.
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LINKS
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Eric Weisstein's World of Mathematics, Odious Number
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EXAMPLE
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The sequence of odious numbers (A000069) begins 1,2,4,7,8,11,13,14,16,19,21,..., so the first few odious twins are at 1,7,13, ... .
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CROSSREFS
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A000069, A001969, A157970
Sequence in context: A126621 A109331 A054858 this_sequence A135275 A013652 A099988
Adjacent sequences: A157968 A157969 A157970 this_sequence A157972 A157973 A157974
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Mar 10 2009
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