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A120401
Construct the sequence given by the floor of the imaginary part of zeros of the Riemann zeta function; take complement.
4
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
0,3
COMMENTS
Complement to A013629. Similar to A002410 and A122526, which use "round" instead of "floor".
EXAMPLE
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.
MATHEMATICA
l=94; Complement[Range[0, l], Table[Floor[Im[ZetaZero[n]]], {n, l}]] (* James C. McMahon, Oct 05 2024 *)
CROSSREFS
Sequence in context: A291442 A236866 A122526 * A285356 A127034 A348960
KEYWORD
fini,nonn
AUTHOR
Jorge Coveiro, Jul 02 2006
EXTENSIONS
a(54)-a(68) from James C. McMahon, Oct 05 2024
STATUS
approved