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

3,1

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

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

Example

961.389193575304437...

Mathematica

RealDigits[Pi^6, 10, 108][[1]] (* Alonso del Arte, Oct 05 2014 *)

Prog

(PARI) Pi^6 \\ G. C. Greubel, Mar 09 2018
(Magma) R:= RealField(100); (Pi(R))^6; // G. C. Greubel, Mar 09 2018

Crossrefs

Cf. A000796, A002161.

Sequence in context: A019883 A085574 A194825 * A342680 A176532 A178809

Adjacent sequences: A092729 A092730 A092731 * A092733 A092734 A092735

Keyword

cons,nonn

Author

Mohammad K. Azarian, Apr 12 2004

Status

approved