A377558 Decimal expansion of Pi^3/64 + 7*zeta(3)/16.

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

Offset

1,5

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. 40.

Formula

Equals Sum_{k>=0} 1/(4*k + 1)^3 (see Finch).

Equals -psi''(1/4)/128 = -(psi''(1/8) + psi''(5/8))/1024 (see Shamos).

Equals hypergeom([1/4, 1/4, 1/4, 1], [5/4, 5/4, 5/4], 1). - R. J. Mathar, Jul 14 2025

Example

1.01037296826200719010420286858471867099445163674...

Mathematica

RealDigits[Pi^3/64+7Zeta[3]/16, 10, 100][[1]]

Crossrefs

Cf. A002117, A016813, A016815, A091925, A233091, A377557, A377559, A377560.

Sequence in context: A197837 A222070 A163917 * A266417 A260433 A243343

Adjacent sequences: A377555 A377556 A377557 * A377559 A377560 A377561

Keyword

nonn,cons

Author

Stefano Spezia, Nov 01 2024

Status

approved