A347329 Decimal expansion of Pi^4/105.
9, 2, 7, 7, 0, 5, 6, 2, 8, 8, 9, 5, 2, 6, 1, 3, 0, 7, 0, 1, 3, 7, 1, 7, 4, 5, 4, 1, 7, 8, 1, 4, 3, 9, 1, 6, 6, 6, 4, 0, 7, 2, 2, 4, 4, 5, 0, 1, 7, 6, 5, 9, 2, 0, 8, 7, 1, 1, 2, 2, 4, 7, 0, 3, 8, 0, 6, 7, 4, 8, 1, 3, 8, 7, 4, 5, 4, 4, 7, 2, 5, 6, 2, 0, 2, 0, 8
Offset: 0
Examples
0.9277056288952613070137174541781439166640...
Links
- Michael I. Shamos, Shamos's catalog of the real numbers (2011).
- Index entries for transcendental numbers.
Programs
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Mathematica
RealDigits[Pi^4/105, 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)
Formula
Equals zeta(8) / zeta(4).
Equals Sum_{k>=1} A008836(k) / k^4.
Equals Product_{p prime} 1/(1+p^(-4)). [corrected by Amiram Eldar, Jun 06 2023]