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Search: id:A125642
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| A125642 |
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Argument of 1/n^z on the unit circle by decants, z = the first Riemann nontrivial zero. |
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+0
1
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| 1, 5, -5, -2, 4, -1, -4, 4, 1, -2, -4, 5, 3, 1, -1, -3, -4, 5, 4, 3, 2, 1, -1, -2, -3, -4, -5, -5, 5, 4, 3, 3, 2, 1, 1, -1, -2, -2, -3, -3, -4, -5, -5, 5, 5, 4, 4, 3, 3, 2
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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Given the first Riemann nontrivial zero, z = (1/2 + i*14.134725142...), extract the argument of 1/n^z (polar) and map it on a unit circle by decants: (0 to 36 deg. = 1), (36 to 72 deg. = 2), (72 to 108 deg. = 3), (108 to 144 deg. = 4), (144 to 180 deg. = 5), (0 to -36 deg. = -1), (-36 to -72 deg. = -2), (-72 to -108 deg. = -3), (-108 to -144 deg. = -4), (-144 to -180 deg. = -5).
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EXAMPLE
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a(5) = 4 since 1/4^z = (.447213...Angle 136.58045...) and the argument is between 108 and 144 deg., the 4-th decant.
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CROSSREFS
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Cf. A100060.
Sequence in context: A060074 A011501 A114348 this_sequence A011335 A021185 A132376
Adjacent sequences: A125639 A125640 A125641 this_sequence A125643 A125644 A125645
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KEYWORD
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uned,sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 28 2006
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