cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A347199 Decimal expansion of sin(1) * sinh(1).

Original entry on oeis.org

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

Views

Author

Sean A. Irvine, Aug 22 2021

Keywords

Examples

			0.9888977057628650963821295408926861886421496950...
		

References

  • I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press (1979), Eq. (1.413.1).

Crossrefs

Programs

  • Mathematica
    RealDigits[Sin[1] * Sinh[1], 10, 120][[1]] (* Amiram Eldar, Jun 15 2023 *)
  • 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