Search: id:A123506 Results 1-1 of 1 results found. %I A123506 %S A123506 0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1, %T A123506 0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1 %N A123506 Sequence generated from the second nontrivial zero of the Riemann zeta function. %C A123506 A123054 performs an analogous set of operations using the first nontrivial zero. A123507 records the lengths of runs in A123506. %D A123506 John Derbyshire, Prime Obsession, Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume - a Penguin Group, NY, 2003, pgs. 198-9. %F A123506 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 deg., a(n) = 1. If not, then a(n) = 0. %e A123506 a(7) = 1 since (1/7)^z = (.37796447..., Angle 176.201...) and the argument is between 0 and 180 deg. %Y A123506 Cf. A123504, A123505, A123507, A102522, A102523. %Y A123506 Sequence in context: A014578 A030190 A157658 this_sequence A051105 A155897 A144610 %Y A123506 Adjacent sequences: A123503 A123504 A123505 this_sequence A123507 A123508 A123509 %K A123506 nonn %O A123506 2,1 %A A123506 Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 02 2006 Search completed in 0.001 seconds