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%I #25 Oct 01 2023 06:41:30
%S 9,6,1,3,8,9,1,9,3,5,7,5,3,0,4,4,3,7,0,3,0,2,1,9,4,4,3,6,5,2,4,1,9,8,
%T 9,8,8,6,7,2,1,7,5,2,8,0,8,1,0,4,6,6,1,5,9,4,1,0,7,6,1,8,7,4,8,4,0,9,
%U 3,9,1,2,8,4,2,3,5,0,2,1,3,4,9,9,2,2,1,4,0,9,1,5,1,9,1,5,7,3,6,1,5,1,1,1,3
%N Decimal expansion of Pi^6.
%H G. C. Greubel, <a href="/A092732/b092732.txt">Table of n, a(n) for n = 3..10000</a>
%H Mohammad Reza Yegan, <a href="https://doi.org/10.1016/j.jnt.2017.02.009">On the irrationality of Pi^4 and Pi^6</a>, Journal of Number Theory, Volume 178, September 2017, Pages 5-10.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals Sum_{k>=1} k*(k+1)*(k+2)*(k+3)*(k+4)*zeta(k+5)/2^(k+2). - _Amiram Eldar_, May 21 2021
%e 961.389193575304437...
%t RealDigits[Pi^6, 10, 108][[1]] (* _Alonso del Arte_, Oct 05 2014 *)
%o (PARI) Pi^6 \\ _G. C. Greubel_, Mar 09 2018
%o (Magma) R:= RealField(100); (Pi(R))^6; // _G. C. Greubel_, Mar 09 2018
%Y Cf. A000796, A002161.
%K cons,nonn
%O 3,1
%A _Mohammad K. Azarian_, Apr 12 2004
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