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Decimal expansion of 8*Pi^6/63 = 5!*zeta(6).
1

%I #11 Oct 01 2022 15:43:31

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

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

%U 9,8,6,1,9,4,8,2,3,4

%N Decimal expansion of 8*Pi^6/63 = 5!*zeta(6).

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

%F Equals Integral_{x>=0} x^5/(exp(x) - 1) dx = 5!*A013664.

%F Equals -Integral_{x=0..1} log(x)^5/(1-x) dx. - _Amiram Eldar_, May 27 2021

%e 122.081167438133896765742151574910463348218098803...

%t RealDigits[8*Pi^6/63, 10, 100][[1]] (* _Amiram Eldar_, May 27 2021 *)

%o (PARI) 5!*zeta(6) \\ _Charles R Greathouse IV_, Oct 01 2022

%Y Cf. A013664, A231535 (Integral with x^3).

%K nonn,cons

%O 3,2

%A _Wolfdieter Lang_, Sep 16 2020