A377557 Decimal expansion of 2*Pi^3/(81*sqrt(3)) + 13*zeta(3)/27.

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

Offset

1,3

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 42.

Links

Table of n, a(n) for n=1..100.

Michael I. Shamos, A catalog of the real numbers, (2007). See p. 52.

Formula

Equals Sum_{k>=0} 1/(3*k + 1)^3 (see Finch).

Equals -psi''(1/3)/54 (see Shamos).

Example

1.0207800444333631028232547399039818253534109375...

Mathematica

RealDigits[2Pi^3/(81Sqrt[3])+13Zeta[3]/27, 10, 100][[1]]

Crossrefs

Cf. A002117, A002194, A016777, A016779, A091925, A233091, A377558, A377559, A377560.

Sequence in context: A298749 A021832 A352615 * A160509 A243444 A256293

Adjacent sequences: A377554 A377555 A377556 * A377558 A377559 A377560

Keyword

nonn,cons

Author

Stefano Spezia, Nov 01 2024

Status

approved