A251967 Decimal expansion of 29*Pi^3/864.

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

Bruno Berselli, Sums of the type sum(i>=0, (-1)^k/(2i+1)^3).

Index entries for transcendental numbers

Formula

Equals Sum_{i>=0} (-1)^floor(i/3)/(2i+1)^3 = +1 +1/3^3 +1/5^3 -1/7^3 -1/9^3 -1/11^3 +1/13^3 +1/15^3 +1/17^3 - ...

Example

1.040719934871174519778718908502245903778395102327162179548832876169...

Mathematica

RealDigits[29 Pi^3/864, 10, 90][[1]]

Prog

(PARI) 29*Pi^3/864 \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Cf. similar sums:

A233091 for Sum_{i>=0} 1/(2i+1)^3;

A153071 for Sum_{i>=0} (-1)^i/(2i+1)^3;

A251809 for Sum_{i>=0} (-1)^floor(i/2)/(2i+1)^3.

Sequence in context: A351898 A157698 A342360 * A330725 A057641 A352886

Adjacent sequences: A251964 A251965 A251966 * A251968 A251969 A251970

Keyword

nonn,cons

Author

Bruno Berselli, Dec 12 2014

Status

approved