

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
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OFFSET

0,1


LINKS

Table of n, a(n) for n=0..80.


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



