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A271523
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Decimal expansion of the real part of the Dirichlet function eta(z), at z=i, the imaginary unit.
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4
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5, 3, 2, 5, 9, 3, 1, 8, 1, 7, 6, 3, 0, 9, 6, 1, 6, 6, 5, 7, 0, 9, 6, 5, 0, 0, 8, 1, 9, 7, 3, 1, 9, 0, 4, 4, 7, 2, 7, 7, 8, 5, 7, 6, 8, 1, 4, 3, 4, 9, 2, 1, 9, 2, 2, 3, 9, 7, 4, 8, 7, 2, 5, 9, 5, 9, 4, 3, 8, 2, 6, 3, 1, 5, 6, 3, 1, 1, 1, 7, 7, 6, 6, 8, 6, 6, 0, 8, 9, 6, 4, 8, 9, 7, 7, 9, 5, 5, 7, 2, 2, 4, 1, 2, 0
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OFFSET
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0,1
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COMMENTS
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The corresponding imaginary part of eta(i) is in A271524.
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LINKS
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FORMULA
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Equals real(eta(i)).
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EXAMPLE
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0.53259318176309616657096500819731904472778576814349219223974872595...
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MATHEMATICA
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First[RealDigits[Re[(1 - 2^(1 - I))*Zeta[I]], 10, 110]] (* Robert Price, Apr 09 2016 *)
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PROG
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(PARI) \\ The Dirichlet eta function (fails for z=1):
direta(z)=(1-2^(1-z))*zeta(z);
real(direta(I)) \\ Evaluation
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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