A188925 Continued fraction of sqrt(4+sqrt(15)).

2, 1, 4, 6, 1, 1, 2, 25, 3, 1, 3, 2, 3, 1, 27, 1, 2, 1, 2, 2, 3, 2, 1, 1739, 1, 6, 2, 1, 2, 2, 13, 3, 1, 1, 24, 1, 1, 1, 1, 1, 1, 10, 49, 1, 4, 1, 1, 1, 1, 1, 1, 11, 3, 1, 1, 1, 10, 1, 8, 953, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 4, 2, 1, 2, 3, 278, 1, 1, 13, 1, 21, 4, 1, 1, 2, 6, 1, 1, 5, 1, 1, 1, 4, 6, 1, 1, 1, 2, 1, 2, 2, 1, 1, 6, 1, 2, 17, 1, 2, 2, 9, 3, 1, 10, 2, 1, 1, 7, 3, 1

Offset: 0

Author

Clark Kimberling, Apr 13 2011

Keywords

• nonn
• cofr

Comments

For a geometric interpretation, see A188640 and A188924.

Also continued fraction of (sqrt(6)+sqrt(10))/2. - Clark Kimberling

Crossrefs

Cf. A188924 (decimal expansion).

Programs

Mathematica

r = 6^(1/2); t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]
N[t, 130]
RealDigits[N[t, 130]][[1]]
ContinuedFraction[t, 120]

Extensions

Definition corrected by Harvey P. Dale, Mar 15 2016

Offset changed by Andrew Howroyd, Jul 08 2024