A377560 Decimal expansion of Pi^3/(36*sqrt(3)) + 91*zeta(3)/216.

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

Offset

1,4

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. 28.

Formula

Equals Sum_{k>=0} 1/(6*k + 1)^3 (see Finch).

Equals -psi''(1/6)/432 (see Shamos).

Example

1.00368551534795269706323013702486057315272784359...

Mathematica

RealDigits[Pi^3/(36*Sqrt[3])+91*Zeta[3]/216, 10, 100][[1]]

Crossrefs

Cf. A002117, A002194, A016921, A016923, A091925, A233091, A377557, A377558, A377559.

Sequence in context: A306633 A096416 A232717 * A354628 A340794 A345204

Adjacent sequences: A377557 A377558 A377559 * A377561 A377562 A377563

Keyword

nonn,cons

Author

Stefano Spezia, Nov 01 2024

Status

approved