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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, 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
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
KEYWORD
nonn
AUTHOR
A. Timothy Royappa, Jan 08 2009
EXTENSIONS
More terms from Alois P. Heinz, Feb 20 2023
STATUS
approved