A188933 Continued fraction of sqrt(7)+sqrt(8).

5, 2, 9, 5, 2, 687, 6, 4, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 317, 19, 1, 1, 1, 6, 3, 8, 11, 10, 7, 1, 1, 5, 2, 1, 14, 1, 35, 6, 6, 1, 7, 2, 4, 1, 3, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 4, 2, 84, 1, 3, 1, 6, 2, 1, 1, 2, 3, 1, 1, 7, 1, 4, 1, 31, 9, 1, 3, 9, 7, 1, 3, 1, 1, 3, 1, 1, 62, 12, 1, 24, 2, 1, 4, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 3, 1, 10, 1, 1, 1, 14, 1, 1, 1, 2, 4, 1

Offset: 0

Author

Clark Kimberling, Apr 13 2011

Keywords

• nonn
• cofr

Comments

For a geometric interpretation, see A188640 and A188932.

Examples

			sqrt(7)+sqrt(8)=[5,2,9,5,2,687,6,4,1,2,2,1,2,3,1,1,1,1,1,...].
		

Crossrefs

Cf. A188932 (decimal expansion).

Programs

Mathematica

r = 28^(1/2); 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 08 2024