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%I #9 Feb 20 2023 18:55:06
%S 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,
%T 18,19,19,20,21,21,22,23,23,24,25,25,26,26,27,28,28,29,30,30,31,31,32,
%U 33,34,34,34,36,36,36,38,37,39,39,40,40,41,42,42,43,44
%N Number of zeros of sin(x^2) in integer intervals starting with (0,1).
%C First differences of A032616. - _R. J. Mathar_, Jan 12 2009
%e 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.
%t Join[{0},Table[CountRoots[Sin[x^2],{x,k,k+1}],{k,20}]] (* _Harvey P. Dale_, Dec 24 2018 *)
%Y Cf. A032616.
%K nonn
%O 1,4
%A _A. Timothy Royappa_, Jan 08 2009
%E More terms from _Alois P. Heinz_, Feb 20 2023
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