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A305741 Decimal expansion of imaginary part of 6th nontrivial zero of Riemann zeta function. 12

%I

%S 3,7,5,8,6,1,7,8,1,5,8,8,2,5,6,7,1,2,5,7,2,1,7,7,6,3,4,8,0,7,0,5,3,3,

%T 2,8,2,1,4,0,5,5,9,7,3,5,0,8,3,0,7,9,3,2,1,8,3,3,3,0,0,1,1,1,3,6,2,2,

%U 1,4,9,0,8,9,6,1,8,5,3,7,2,6,4,7,3,0,3,2,9,1,0

%N Decimal expansion of imaginary part of 6th nontrivial zero of Riemann zeta function.

%H Andrew M. Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/zeta_tables/index.html">Tables of zeros of the Riemann zeta function</a>

%e The zero is at 1/2 + i * 37.58617815882567125721776348070533282140559735083...

%t RealDigits[Im[ZetaZero[6]], 10, 120][[1]] (* _Vaclav Kotesovec_, Jun 23 2018 *)

%o (PARI) lfunzeros(1,[37,38])[1] \\ _M. F. Hasler_, Nov 23 2018

%Y Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3), A065453 (k=4), A192492 (k=5), this sequence (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).

%Y Cf. A002410 (rounded values: main entry), A013629 (floor), A092783 (ceiling).

%K nonn,cons

%O 2,1

%A _Seiichi Manyama_, Jun 23 2018

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Last modified January 26 14:08 EST 2020. Contains 331280 sequences. (Running on oeis4.)