A300709 Decimal expansion of Pi^6/960.

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

Offset: 1

Author

Iaroslav V. Blagouchine, Mar 11 2018

Keywords

• nonn
• cons

Comments

Also the sum of the series Sum_{n>=0} (1/(2n+1)^6), whose value is obtained from zeta(6) given by L. Euler in 1735: Sum_{n>=0}(2n+1)^(-s) = (1-2^(-s))*zeta(s).

Examples

			1.0014470766409421219064785871379373946533515917510902...
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A092732, A111003, A300707, A300710.

Programs

MATLAB

format long; pi^6/960

Maple

evalf((1/960)*Pi^6, 120)

Mathematica

RealDigits[Pi^6/960, 10, 120][[1]]

PARI

default(realprecision, 120); Pi^6/960

Formula

Equals A092732/960. - Omar E. Pol, Mar 11 2018

From Artur Jasinski, Jun 24 2025: (Start)

Equals DirichletL(2,1,6).

Equals DirichletL(4,1,6).

Equals DirichletL(8,1,6).

Equals DirichletL(16,1,6). (End)