A347081 Decimal expansion of (91 + 45*sqrt(5)) * Pi^4 / 18750.
9, 9, 5, 5, 1, 0, 8, 2, 6, 5, 1, 3, 4, 1, 2, 5, 0, 9, 4, 4, 5, 5, 5, 2, 6, 0, 0, 9, 9, 8, 6, 0, 8, 6, 5, 0, 8, 4, 1, 7, 1, 5, 9, 2, 4, 2, 5, 3, 6, 5, 4, 3, 1, 5, 7, 6, 8, 5, 6, 3, 0, 4, 0, 8, 4, 1, 4, 5, 0, 1, 8, 0, 7, 2, 6, 6, 0, 9, 4, 3, 5, 1, 4, 1, 9, 1, 2
Offset: 0
Examples
0.99551082651341250944555260099860...
Links
- Michael I. Shamos, Shamos's catalog of the real numbers (2011).
- Index entries for transcendental numbers.
Programs
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Mathematica
RealDigits[(91 + 45*Sqrt[5]) * Pi^4 / 18750, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
Formula
Equals 1 + Sum_{k>=1} ( (-1)^k/(5*k-1)^4 + (-1)^k/(5*k+1)^4 ).