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

0,1

Comments

For a geometric interpretation, see A188640 and A188932.

Links

Table of n, a(n) for n=0..119.

Example

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

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]

Crossrefs

Cf. A188932 (decimal expansion).

Sequence in context: A065262 A198738 A051356 * A306648 A255655 A358516

Adjacent sequences: A188930 A188931 A188932 * A188934 A188935 A188936

Keyword

nonn,cofr

Author

Clark Kimberling, Apr 13 2011

Extensions

Offset changed by Andrew Howroyd, Jul 08 2024

Status

approved