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A188923
Continued fraction of (sqrt(3)+sqrt(7))/2.
1
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
0,1
COMMENTS
For a geometric interpretation, see A188640 and A188922.
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 (decimal expansion).
Sequence in context: A328823 A364143 A346265 * A078375 A362090 A065261
KEYWORD
nonn,cofr
AUTHOR
Clark Kimberling, Apr 13 2011
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 08 2024
STATUS
approved