

A125642


Divide the circle into ten "decants" (each of 36 degrees). Let z = 1/2 + i*14.134725142... be the first nontrivial zero of the Riemann zeta function. Then a(n) is the decant containing the argument of 1/n^z.


0



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
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..50.


FORMULA

Given the first Riemann nontrivial zero, z = (1/2 + i*14.134725142...), extract the argument of 1/n^z (in polar coordinates) 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).


EXAMPLE

a(5) = 4 since 1/4^z = has angle 136.58045... and the argument is between 108 and 144 deg., which is the 4th decant.


CROSSREFS

Cf. A100060.
Sequence in context: A319593 A335321 A172125 * A247039 A011335 A021185
Adjacent sequences: A125639 A125640 A125641 * A125643 A125644 A125645


KEYWORD

more,sign


AUTHOR

Gary W. Adamson, Nov 28 2006


EXTENSIONS

Edited by N. J. A. Sloane, Aug 10 2019


STATUS

approved



