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Search: id:A123506
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| A123506 |
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Sequence generated from the second nontrivial zero of the Riemann zeta function. |
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+0
5
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| 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
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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A123054 performs an analogous set of operations using the first nontrivial zero. A123507 records the lengths of runs in A123506.
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REFERENCES
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John Derbyshire, Prime Obsession, Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume - a Penguin Group, NY, 2003, pgs. 198-9.
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FORMULA
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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.
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EXAMPLE
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a(7) = 1 since (1/7)^z = (.37796447..., Angle 176.201...) and the argument is between 0 and 180 deg.
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CROSSREFS
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Cf. A123504, A123505, A123507, A102522, A102523.
Sequence in context: A014578 A030190 A157658 this_sequence A051105 A155897 A144610
Adjacent sequences: A123503 A123504 A123505 this_sequence A123507 A123508 A123509
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 02 2006
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