A163581 Number of zeros of sin(x) in integer intervals starting with (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, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0

Offset: 0

Author

A. Timothy Royappa, Jul 31 2009

Keywords

• nonn

Examples

			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.

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