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URL: https://oeis.org/A139341

⇱ A139341 - OEIS


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A139341
Decimal expansion of e^((1+sqrt(5))/2).
14
5, 0, 4, 3, 1, 6, 5, 6, 4, 3, 3, 6, 0, 0, 2, 8, 6, 5, 1, 3, 1, 1, 8, 8, 2, 1, 8, 9, 2, 8, 5, 4, 2, 4, 7, 1, 0, 3, 2, 3, 5, 9, 0, 1, 7, 5, 4, 1, 3, 8, 4, 6, 3, 6, 0, 3, 0, 2, 0, 0, 0, 1, 9, 6, 7, 7, 7, 7, 8, 6, 9, 6, 0, 9, 1, 0, 8, 9, 2, 9, 4, 2, 8, 4, 1, 5, 1, 8, 7, 8, 2, 1, 8, 4, 3, 3, 8, 4, 6, 5, 3, 3, 0, 5, 4
OFFSET
1,1
COMMENTS
By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019
FORMULA
From Amiram Eldar, Feb 08 2022: (Start)
Equals exp(A001622).
Equals 1/A139342. (End)
EXAMPLE
5.04316564336002865131188218928542471032359017541384...
MAPLE
phi := (1+sqrt(5))/2 ; evalf(exp(phi)) ; # R. J. Mathar, Oct 16 2015
MATHEMATICA
RealDigits[Exp[GoldenRatio], 10, 100][[1]] (* Amiram Eldar, Feb 08 2022 *)
PROG
(PARI) exp((sqrt(5)+1)/2) \\ Charles R Greathouse IV, May 13 2019
KEYWORD
nonn,cons
AUTHOR
Mohammad K. Azarian, Apr 14 2008
STATUS
approved