

A275579


Nearest integer to imaginary part of Riemann zeta zeros divided by 2*Pi.


6



2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26
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OFFSET

1,1


COMMENTS

This sequence never increases by more than 1. The first differences are given by A275737 starting: 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, ...


LINKS



FORMULA

a(n) = round(im(zetazero(n))/(2*Pi)) = round(A002410(n)/(2*Pi)).
a(n) ~ (n  11/8)/LambertW(exp(1)^(1)*(n  11/8)) (This is the Franca LeClair asymptotic at page 13, formula (25).)


MATHEMATICA

Table[Round[Im[ZetaZero[n]]/(2*Pi)], {n, 1, 60}]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



