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Search: id:A120243
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| A120243 |
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Numbers n such that {rn}<=c, where r=2^(1/2), c=1/2 and { } denotes fractional part. |
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+0
6
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| 1, 3, 5, 6, 8, 10, 13, 15, 17, 18, 20, 22, 25, 27, 29, 30, 32, 34, 35, 37, 39, 42, 44, 46, 47, 49, 51, 54, 56, 58, 59, 61, 63, 66, 68, 71, 73, 75, 76, 78, 80, 83, 85, 87, 88, 90, 92, 95, 97, 99, 100, 102, 104, 105, 107, 109, 112, 114, 116, 117, 119, 121, 124, 126, 128, 129
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The complement of a is b=A120749. Is a(n)<b(n) for all n? If k is a positive integer, then is b(n)-a(n)=k for infinitely many n?
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EXAMPLE
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{r}={1.4142...}=0.4142... <1/2, so a(1)=1
{2r}=0.828... >1/2, so b(1)=2, where b = complement of a
{3r}=0.242... <1/2, so a(2)=3.
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CROSSREFS
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Cf. A120749, A120750, A120751.
Adjacent sequences: A120240 A120241 A120242 this_sequence A120244 A120245 A120246
Sequence in context: A000210 A022838 A047329 this_sequence A084810 A014254 A131422
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Jul 01 2006
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