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

Author

Bruno Berselli, Dec 12 2014

Keywords

• nonn
• cons

Examples

			1.040719934871174519778718908502245903778395102327162179548832876169...
		

Links

• Bruno Berselli, Sums of the type sum(i>=0, (-1)^k/(2i+1)^3).
• Index entries for transcendental numbers

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.

Programs

Mathematica

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

PARI

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

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 - ...