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

Author

A. Timothy Royappa, Jan 08 2009

Keywords

• nonn

Comments

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

Examples

			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.
		

Crossrefs

Cf. A032616.

Programs

Mathematica

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

Extensions

More terms from Alois P. Heinz, Feb 20 2023