A386590 Decimal expansion of the absolute value of zeta(1/4).
8, 1, 3, 2, 7, 8, 4, 0, 5, 2, 6, 1, 8, 9, 1, 6, 5, 6, 5, 2, 1, 4, 4, 7, 8, 2, 0, 0, 7, 3, 5, 2, 5, 5, 7, 4, 4, 8, 1, 5, 7, 0, 5, 2, 4, 5, 2, 9, 0, 0, 5, 8, 4, 2, 6, 0, 5, 0, 6, 6, 9, 7, 3, 4, 4, 2, 0, 1, 7, 8, 2, 9, 7, 2, 4, 4, 1, 0, 2, 1, 7, 1, 0, 1, 9, 9, 1, 4, 6, 5, 2, 2, 9, 5, 4, 0, 3, 3, 7, 0, 9, 8, 3, 8, 5
Offset: 0
Examples
0.81327840526189165652144782007352557448157...
Programs
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Maple
evalf(abs(Zeta(1/4)), 120); # Alois P. Heinz, Jul 26 2025
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Mathematica
RealDigits[-Zeta[1/4], 10, 105][[1]]
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PARI
-zeta(1/4) \\ Stefano Spezia, Aug 03 2025
Formula
Sum_{k>=1} (-1)^(k+1)/k^(1/4) = |Zeta(1/4)| * (2^(3/4)-1) = this * (A011006 -1).