The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A322258 Decimal expansion of exp(-phi/sqrt(5)), where phi is the golden ratio. 1
 4, 8, 4, 9, 9, 9, 8, 0, 1, 2, 9, 2, 9, 5, 8, 0, 2, 5, 2, 3, 1, 7, 5, 1, 3, 2, 2, 3, 0, 0, 9, 5, 2, 4, 8, 3, 4, 8, 0, 6, 5, 9, 9, 6, 5, 6, 4, 1, 5, 5, 9, 5, 7, 1, 2, 5, 2, 7, 1, 8, 0, 2, 9, 1, 0, 2, 9, 1, 9, 2, 1, 2, 8, 4, 6, 5, 8, 8, 5, 6, 9, 3, 5, 0, 1, 5, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES J. Sandor and B. Crstici, Handbook of Number Theory II, Springer, 2004, pp. 54-55, p. 182. LINKS Table of n, a(n) for n=0..86. Don Redmond, Infinite products and Fibonacci numbers, Fib. Quart., Vol. 32, No. 3 (1994), pp. 234-239. FORMULA Equals Product_{k>=1} (L(k)/(sqrt(5)*F(k)))^(phi(k)/k), where L(k) and F(k) are the Lucas and Fibonacci numbers, and phi(k) is the Euler totient function. Equals exp(-A242671). EXAMPLE 0.48499980129295802523175132230095248348065996564155... MATHEMATICA RealDigits[Exp[-GoldenRatio/Sqrt[5]], 10, 120][[1]] CROSSREFS Cf. A000010, A000032, A000045, A001622, A242671, A322259. Sequence in context: A245780 A165267 A092159 * A141402 A276619 A145900 Adjacent sequences: A322255 A322256 A322257 * A322259 A322260 A322261 KEYWORD nonn,cons AUTHOR Amiram Eldar, Dec 01 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 21 17:21 EDT 2024. Contains 372738 sequences. (Running on oeis4.)