A347199 Decimal expansion of sin(1) * sinh(1).
9, 8, 8, 8, 9, 7, 7, 0, 5, 7, 6, 2, 8, 6, 5, 0, 9, 6, 3, 8, 2, 1, 2, 9, 5, 4, 0, 8, 9, 2, 6, 8, 6, 1, 8, 8, 6, 4, 2, 1, 4, 9, 6, 9, 5, 0, 3, 3, 1, 4, 7, 6, 0, 7, 5, 3, 6, 8, 1, 6, 0, 1, 0, 4, 2, 9, 7, 3, 5, 4, 4, 5, 7, 6, 9, 7, 2, 3, 0, 5, 0, 5, 9, 5, 1, 2, 1
Offset: 0
Examples
0.9888977057628650963821295408926861886421496950...
References
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press (1979), Eq. (1.413.1).
Links
- Michael I. Shamos, Shamos's catalog of the real numbers (2011).
Programs
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Mathematica
RealDigits[Sin[1] * Sinh[1], 10, 120][[1]] (* Amiram Eldar, Jun 15 2023 *)
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PARI
sin(1) * sinh(1) \\ Amiram Eldar, Jun 15 2023
Formula
Equals Sum_{k>=0} (-1)^k * 2^(2*k+1) / (4*k+2)!.
Equals Product_{k>=1} (1 - 1/(Pi^4*k^4)).
Equals 0F3(;3/4,5/4,3/2; -1/64). - R. J. Mathar, Aug 03 2024