A092732 Decimal expansion of Pi^6.
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, 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, 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
Offset: 3
Examples
961.389193575304437...
Links
- G. C. Greubel, Table of n, a(n) for n = 3..10000
- Mohammad Reza Yegan, On the irrationality of Pi^4 and Pi^6, Journal of Number Theory, Volume 178, September 2017, Pages 5-10.
- Index entries for transcendental numbers
Programs
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Magma
R:= RealField(100); (Pi(R))^6; // G. C. Greubel, Mar 09 2018
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Mathematica
RealDigits[Pi^6, 10, 108][[1]] (* Alonso del Arte, Oct 05 2014 *)
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PARI
Pi^6 \\ G. C. Greubel, Mar 09 2018
Formula
Equals Sum_{k>=1} k*(k+1)*(k+2)*(k+3)*(k+4)*zeta(k+5)/2^(k+2). - Amiram Eldar, May 21 2021