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A123506
Sequence generated from the second nontrivial zero of the Riemann zeta function.
4
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, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
OFFSET
2,1
COMMENTS
A123504 performs an analogous set of operations using the first nontrivial zero. A123507 records the lengths of runs in A123506.
REFERENCES
John Derbyshire, Prime Obsession, Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume - a Penguin Group, NY, 2003, pp. 198-199.
FORMULA
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.
EXAMPLE
a(7) = 1 since (1/7)^z = (0.37796447..., angle 176.201... degrees) and the argument is between 0 and 180 degrees.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Gary W. Adamson, Oct 02 2006
STATUS
approved