

A154392


Number of zeros of sin(x^2) in integer intervals starting with (0,1).


0



0, 1, 1, 3, 2, 4, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 10, 12, 11, 13
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OFFSET

1,4


COMMENTS

First differences of A032616. [From R. J. Mathar, Jan 12 2009]


LINKS

Table of n, a(n) for n=1..20.


EXAMPLE

For n = 1, there are no zeros of sin(x^2) in (0,1), so a(1) = 0. For n = 2, there is one zero of sin(x^2) in (1,2) at x = sqrt(pi), or x ~ 1.772, so a(2) = 1.


MATHEMATICA

Join[{0}, Table[CountRoots[Sin[x^2], {x, k, k+1}], {k, 20}]] (* Harvey P. Dale, Dec 24 2018 *)


CROSSREFS

Sequence in context: A326015 A078822 A224980 * A069745 A112199 A145815
Adjacent sequences: A154389 A154390 A154391 * A154393 A154394 A154395


KEYWORD

nonn


AUTHOR

A. Timothy Royappa, Jan 08 2009


STATUS

approved



