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A188925
Continued fraction of sqrt(4+sqrt(15)).
1
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
0,1
COMMENTS
For a geometric interpretation, see A188640 and A188924.
Also continued fraction of (sqrt(6)+sqrt(10))/2. - Clark Kimberling
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]
CROSSREFS
Cf. A188924 (decimal expansion).
Sequence in context: A309845 A002987 A210958 * A063872 A199909 A033884
KEYWORD
nonn,cofr
AUTHOR
Clark Kimberling, Apr 13 2011
EXTENSIONS
Definition corrected by Harvey P. Dale, Mar 15 2016
Offset changed by Andrew Howroyd, Jul 08 2024
STATUS
approved