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URL: https://oeis.org/A342756

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A342756
Rounded value of z(n)*prime(n), where z(n) = imaginary part of n-th nontrivial zero of the Zeta function and prime(n) = n-th prime.
1
28, 63, 125, 213, 362, 489, 696, 823, 1104, 1443, 1642, 2089, 2433, 2616, 3060, 3555, 4103, 4396, 5072, 5477, 5792, 6550, 7033, 7781, 8614, 9342, 9749, 10258, 10773, 11449, 13173, 13814, 14682, 15433, 16669, 17262, 18248, 19363, 20269
OFFSET
1,1
COMMENTS
Empirical: a(n) ~ 2*Pi*n^2.
LINKS
David Platt, Computing pi(x) analytically, Mathematics of computation, 84 (2015), 1521-1535.
S. Plouffe, Pi, the primes and the Lambert W function [Slides of a talk]
EXAMPLE
z(1) = 14.134... and prime(1) = 2, a(1) = round(14.134...*2) = 28.
CROSSREFS
Sequence in context: A255152 A159652 A038641 * A386637 A043386 A044130
KEYWORD
nonn
AUTHOR
Simon Plouffe, Apr 11 2021
STATUS
approved