A300709 - OEIS

%I #19 Oct 01 2022 00:17:10

%S 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,

%T 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,

%U 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

%N Decimal expansion of Pi^6/960.

%C 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).

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals A092732/960. - _Omar E. Pol_, Mar 11 2018

%e 1.0014470766409421219064785871379373946533515917510902...

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

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

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

%o (MATLAB) format long; pi^6/960

%Y Cf. A092732, A111003, A300707, A300710.

%K nonn,cons

%O 1,5

%A _Iaroslav V. Blagouchine_, Mar 11 2018