A371945 Decimal expansion of Sum_{k>=0} (-1)^k / (k^3 + 1).

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

Offset

0,1

Links

Table of n, a(n) for n=0..85.

Example

0.58569886194979188645332704695918615397536302...

Mathematica

s = Chop[N[Sum[(-1)^k/(k^3 + 1), {k, 0, Infinity}], 120]]
First[RealDigits[s]]

Prog

(PARI) sumalt(k=0, (-1)^k / (k^3 + 1)) \\ Charles R Greathouse IV, Apr 10 2026
(PARI) sumnumrat((12*k^2 + 6*k + 1)/(64*k^6 + 96*k^5 + 48*k^4 + 24*k^3 + 12*k^2 + 6*k + 2), 0) \\ Charles R Greathouse IV, Apr 10 2026

Crossrefs

Cf. A339606.

Sequence in context: A389527 A366163 A380700 * A358630 A100610 A101465

Adjacent sequences: A371942 A371943 A371944 * A371946 A371947 A371948

Keyword

nonn,cons

Author

Clark Kimberling, Apr 24 2024

Status

approved