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Search: id:A163581
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| A163581 |
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Number of zeros of sin(x) in integer intervals starting with (0,1). |
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+0
1
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| 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n) = 1 if n < m*pi < (n+1) for any positive integer m; a(n) = 0 otherwise.
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EXAMPLE
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For n = 0, 1 and 2, sin(x) has no zeros in the intervals (0,1), (1,2) and (2,3), respectively, so a(0), a(1) and a(2) are all zero. For n = 3, sin(x) has a zero in the interval (3,4) at x = pi, so a(3) = 1.
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CROSSREFS
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Sequence in context: A144597 A125117 A144603 this_sequence A100283 A064990 A102215
Adjacent sequences: A163578 A163579 A163580 this_sequence A163582 A163583 A163584
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KEYWORD
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nonn
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AUTHOR
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Tim Royappa (royappa(AT)uwf.edu), Jul 31 2009
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