A086118 Decimal expansion of Pi/2 + 2/Pi.
2, 2, 0, 7, 4, 1, 6, 0, 9, 9, 1, 6, 2, 4, 7, 7, 9, 6, 2, 3, 0, 6, 8, 5, 6, 7, 4, 5, 1, 2, 9, 8, 0, 8, 8, 9, 0, 2, 3, 6, 4, 2, 3, 2, 8, 2, 6, 4, 9, 3, 7, 8, 7, 0, 5, 4, 7, 8, 1, 4, 1, 6, 7, 2, 3, 8, 9, 4, 9, 5, 3, 9, 3, 6, 8, 0, 0, 1, 0, 6, 3, 9, 6, 7, 4, 4, 7, 2, 6, 2, 3, 7, 3, 6, 0, 7, 0, 8, 7, 7, 8, 1, 5, 3, 6, 5
Offset: 1
Examples
2.2074160991624779623068567451298088902364232826493787...
References
- Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, section 8.12, pp. 519-523.
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..10000
- Steven R. Finch, Moving Sofa Constant, Mathcad Library. [Wayback Machine link]
- Math Stackexchange, Mean value of the rotation angle is 126.5 degrees, 2013.
- Eugene Salamin, Application of quaternions to computation with rotations, Working Paper, Stanford AI Lab, 1979.
- Marc B. Reynolds, Volume element of SO(3) and average uniform random rotation angle, 2017.
- Hansklaus Rummler, On the distribution of rotation angles how great is the mean rotation angle of a random rotation?, The Mathematical Intelligencer, Vol. 24, No. 4 (2002), pp. 6-11; alternative link.
- Eric Weisstein's World of Mathematics, Hammersley Sofa.
- Eric Weisstein's World of Mathematics, Moving Sofa Problem.
- Wikipedia, Moving sofa problem.
- Index entries for transcendental numbers.
Programs
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Mathematica
RealDigits[Pi/2 + 2/Pi, 10, 100][[1]] (* Amiram Eldar, Mar 17 2023 *)
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PARI
2/Pi+Pi/2 \\ Charles R Greathouse IV, Oct 01 2022
Comments