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

1,5

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).

Links

Table of n, a(n) for n=1..103.

Index entries for transcendental numbers

Formula

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

Example

1.0014470766409421219064785871379373946533515917510902...

Maple

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

Mathematica

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

Prog

(PARI) default(realprecision, 120); Pi^6/960
(MATLAB) format long; pi^6/960

Crossrefs

Cf. A092732, A111003, A300707, A300710.

Sequence in context: A350581 A356686 A198138 * A240924 A319034 A282468

Adjacent sequences: A300706 A300707 A300708 * A300710 A300711 A300712

Keyword

nonn,cons

Author

Iaroslav V. Blagouchine, Mar 11 2018

Status

approved