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 A163581 Number of zeros of sin(x) in integer intervals starting with (0,1). 1
 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, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 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, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS FORMULA a(n) = 1 if n < m*pi < (n+1) for any positive integer m; a(n) = 0 otherwise. For n>0, a(A022844(n)) = 1. - Michel Marcus, Aug 07 2013 EXAMPLE 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. CROSSREFS Cf. A163584. Sequence in context: A144597 A125117 A144603 * A100283 A320927 A134391 Adjacent sequences:  A163578 A163579 A163580 * A163582 A163583 A163584 KEYWORD nonn AUTHOR A. Timothy Royappa, Jul 31 2009 STATUS approved

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Last modified January 26 16:30 EST 2021. Contains 340442 sequences. (Running on oeis4.)