A188923 Continued fraction of (sqrt(3)+sqrt(7))/2.

2, 5, 3, 2, 2, 9, 1, 2, 1, 2, 1, 9, 4, 1, 2, 1, 1, 1, 3, 1, 1, 2, 7, 1, 3, 1203, 1, 1, 10, 2, 1, 1, 3, 85, 11, 3, 1, 1, 1, 4, 1, 2, 10, 1, 2, 1, 4, 2, 2, 11, 1, 100, 1, 10, 5, 17, 2, 1, 9, 6, 1, 2, 1, 2, 3, 1, 2, 1, 11, 9, 5, 1, 3, 8, 1, 10, 3, 1, 1, 1, 3, 1, 1, 1, 1, 37, 10, 3, 1, 11, 5, 2, 2, 2, 32, 1, 11, 20, 3, 1, 7, 2, 4, 6, 1, 1, 3, 1, 4, 1, 1, 3, 1, 1, 1, 1, 2, 8, 4, 5

Offset

1,1

Comments

For a geometric interpretation, see A188640 and A188922.

Links

Table of n, a(n) for n=1..120.

Example

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

Mathematica

r = 3^(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. A188922.

Sequence in context: A328823 A364143 A346265 * A078375 A362090 A065261

Adjacent sequences: A188920 A188921 A188922 * A188924 A188925 A188926

Keyword

nonn,cofr

Author

Clark Kimberling, Apr 13 2011

Status

approved