A154392 Number of zeros of sin(x^2) in integer intervals starting with (0,1).

0, 1, 1, 3, 2, 4, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 10, 12, 11, 13, 13, 14, 14, 15, 15, 17, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 31, 32, 33, 34, 34, 34, 36, 36, 36, 38, 37, 39, 39, 40, 40, 41, 42, 42, 43, 44

Offset

1,4

Comments

First differences of A032616. - R. J. Mathar, Jan 12 2009

Links

Table of n, a(n) for n=1..69.

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

Cf. A032616.

Sequence in context: A078822 A224980 A368677 * A069745 A112199 A145815

Adjacent sequences: A154389 A154390 A154391 * A154393 A154394 A154395

Keyword

nonn

Author

A. Timothy Royappa, Jan 08 2009

Extensions

More terms from Alois P. Heinz, Feb 20 2023

Status

approved