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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

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

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Last modified August 10 04:38 EDT 2020. Contains 336368 sequences. (Running on oeis4.)