A347201 Decimal expansion of sin(sqrt(2)).
9, 8, 7, 7, 6, 5, 9, 4, 5, 9, 9, 2, 7, 3, 5, 5, 2, 7, 0, 6, 9, 1, 3, 4, 0, 7, 2, 0, 7, 8, 9, 4, 2, 6, 5, 5, 9, 0, 6, 7, 9, 3, 1, 2, 9, 5, 1, 6, 0, 3, 7, 1, 9, 6, 0, 3, 8, 7, 6, 3, 6, 8, 5, 5, 0, 2, 9, 1, 3, 7, 2, 3, 0, 9, 3, 0, 1, 1, 6, 2, 9, 3, 9, 9, 7, 6, 2
Offset: 0
Examples
0.98776594599273552706913407207894265590...
Links
- Michael I. Shamos, Shamos's catalog of the real numbers (2011).
Programs
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Mathematica
RealDigits[Sin[Sqrt[2]], 10, 120][[1]] (* Amiram Eldar, Jun 01 2023 *)
Formula
Equals sqrt(2) * Sum_{n>=0} (-1)^n/A007019(n) = sqrt(2) * Sum_{n>=0} (-2)^n/(2*n+1)!. - Amiram Eldar, Jun 01 2023