A385423 Decimal expansion of the absolute value of zeta(1/5).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

Equals (1/(2^(4/5)-1))*Sum_{k>=1} (-1)^(k+1)/k^(1/5).

Example

0.7339209248963405922438096137551368666491286938...

Maple

evalf(abs(Zeta(1/5)), 120);  # Alois P. Heinz, Jul 26 2025

Mathematica

RealDigits[-Zeta[1/5], 10, 105][[1]]

Crossrefs

Cf. A251734, A386590.

Sequence in context: A225453 A389274 A388328 * A373100 A153858 A200294

Adjacent sequences: A385420 A385421 A385422 * A385424 A385425 A385426

Keyword

nonn,cons

Author

Artur Jasinski, Jul 26 2025

Status

approved