A120401 Construct the sequence given by the floor of the imaginary part of zeros of the Riemann zeta function; take complement.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 31, 33, 34, 35, 36, 38, 39, 41, 42, 44, 45, 46, 47, 50, 51, 53, 54, 55, 57, 58, 61, 62, 63, 64, 66, 68, 70, 71, 73, 74, 76, 78, 80, 81, 83, 85, 86, 89, 90, 91, 93

Offset: 0

Author

Jorge Coveiro, Jul 02 2006

Keywords

• fini
• nonn

Comments

Complement to A013629. Similar to A002410 and A122526, which use "round" instead of "floor".

Examples

			The first zero is 14.13472.. so 0,1,2,3,4,5,6,7,8,9,10,11,12,13 are part of the sequence.
The second zero is 21.02203.. so 15,16,17,18,19,20 are in the sequence too.
The third zero is 25.0108.. so we get 22,23,24, etc.
		

Crossrefs

Cf. A002410, A122526.

Programs

Mathematica

l=94;Complement[Range[0,l],Table[Floor[Im[ZetaZero[n]]],{n,l}]] (* James C. McMahon, Oct 05 2024 *)

Extensions

a(54)-a(68) from James C. McMahon, Oct 05 2024