%I #17 Jul 23 2024 08:52:55

%S 0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,

%T 1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1

%N Sequence generated from the second nontrivial zero of the Riemann zeta function.

%C A123504 performs an analogous set of operations using the first nontrivial zero. A123507 records the lengths of runs in A123506.

%D John Derbyshire, Prime Obsession, Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume - a Penguin Group, NY, 2003, pp. 198-199.

%F Let z = (1/2 + i*t), t = 21.022039639... (the second nontrivial Riemann zeta function zero). Perform (1/n)^z, (n = 2, 3, 4, ...) extracting the argument. If the argument is between 0 and 180 degrees, a(n) = 1. If not, then a(n) = 0.

%e a(7) = 1 since (1/7)^z = (0.37796447..., angle 176.201... degrees) and the argument is between 0 and 180 degrees.

%Y Cf. A102522, A102523, A123504, A123505, A123507.

%K nonn,more

%O 2,1

%A _Gary W. Adamson_, Oct 02 2006