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Decimal expansion of the real part of zeta(1+Pi*i), where i=sqrt(-1).
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%I #9 Jun 16 2023 05:10:44

%S 6,3,4,7,0,4,6,9,7,3,5,4,2,7,0,1,6,2,5,9,0,3,4,6,9,3,9,2,4,5,7,4,5,2,

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

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

%N Decimal expansion of the real part of zeta(1+Pi*i), where i=sqrt(-1).

%e 0.6347046973542701625903469392457452577555809128155945948993524251369495092993985...

%p Re(Zeta(1+I*Pi)) ; evalf(%) ;

%t RealDigits[Re[Zeta[1 + Pi*I]], 10, 120][[1]] (* _Amiram Eldar_, Jun 16 2023 *)

%o (PARI) real(zeta(1 + Pi*I)) \\ _Amiram Eldar_, Jun 16 2023

%Y Cf. A363687 (zeta(2+Pi*i)).

%K cons,nonn

%O 0,1

%A _R. J. Mathar_, Jun 15 2023