A382907 Decimal expansion of 1/2 - Pi*(sqrt(2)+1)/16.
0, 2, 5, 9, 7, 0, 2, 7, 5, 5, 1, 5, 7, 4, 0, 0, 3, 2, 1, 5, 7, 5, 9, 2, 2, 2, 6, 6, 6, 6, 2, 3, 7, 7, 1, 3, 5, 7, 4, 2, 6, 3, 0, 5, 6, 9, 5, 3, 0, 7, 5, 2, 4, 7, 2, 4, 6, 2, 2, 8, 7, 3, 7, 5, 4, 5, 9, 8, 4, 3, 0, 0, 0, 3, 8, 3, 9, 4, 8, 1, 8, 1, 7, 4, 7, 8, 9
Offset: 0
Examples
0.02597027551574003215759...
Links
- I. S. Gradsteyn and I. M. Ryzhik, Table of integrals, series and products (6th ed.), 2000, (eq. 0.239.7).
Programs
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Mathematica
Join[{0},RealDigits[1/2-(Pi(Sqrt[2]+1))/16,10,120][[1]]] (* Harvey P. Dale, Apr 30 2025 *)
Formula
Equals Sum_{k>=1} 1/((8*k-1)*(8*k+1)).
From Amiram Eldar, Aug 08 2025: (Start)
Equals Sum_{k>=1} 1/A158684(k).
Equals (1 - cot(Pi/8)*Pi/8)/2. (End)