A188721 Continued fraction of (e+sqrt(4+e^2))/2.

3, 21, 2, 40, 1, 8, 1, 18, 1, 4, 2, 7, 14, 25, 1, 2, 1, 4, 1, 1, 1, 1, 2, 8, 50, 4, 1, 1, 3, 1, 11, 1, 1, 2, 3, 1, 1, 3, 1, 2, 22, 1, 1, 4, 1, 4, 1, 1, 4, 4, 2, 2, 2, 57, 1, 1, 34, 5, 1, 2, 2, 1, 1, 8, 13, 2, 3, 3, 17, 1, 1, 49, 1, 2, 1, 5, 1, 7, 1, 9, 1, 11, 1, 1, 7, 13, 1, 1, 59, 4, 8, 1, 3, 1, 4, 6, 1, 9, 11, 1, 1, 4, 456, 2, 8, 23, 2, 4, 2, 2, 1066, 1, 2, 2, 1, 11, 1, 3, 2, 26

Offset: 0

Author

Clark Kimberling, Apr 09 2011

Keywords

• nonn
• cofr

Comments

See A188640 and A188720.

Crossrefs

Cf. A188640, A188720 (decimal expansion).

Programs

Mathematica

r = E; t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]
N[t, 130]
RealDigits[N[t, 130]][[1]]
ContinuedFraction[t, 120]

Extensions

Offset changed by Andrew Howroyd, Jul 07 2024