login
A188929
Continued fraction expansion of sqrt(12)+sqrt(13).
1
7, 14, 2, 1, 4, 21, 3, 9, 1, 4, 2, 1, 1, 1, 2, 3, 25, 1, 4, 2, 1, 28, 1, 2, 1, 1, 33, 1, 1, 2, 4, 5, 17, 2, 1, 1, 1, 2, 2, 1, 5, 1, 13, 3, 1, 1, 1, 1, 1, 2, 1, 1, 34, 1, 3, 4, 7, 1, 62, 1, 38, 1, 6, 1, 2, 1, 1, 2, 3, 1, 2, 2, 196, 1, 1, 1, 26, 1, 2, 1, 2, 2, 1, 16, 1, 15, 5, 1, 1, 2, 12, 3, 1, 2, 2, 1, 2, 1, 2, 2, 12, 5, 2, 5, 17, 1, 5, 1, 1, 36, 2, 1, 5, 1, 8, 3, 50, 7, 7, 3
OFFSET
0,1
COMMENTS
For a geometric interpretation, see A188640 and A188928.
EXAMPLE
sqrt(12)+sqrt(13)=[7,14,2,1,4,21,3,9,1,4,2,1,1,1,...].
MATHEMATICA
r = 48^(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. A188920, A188928 (decimal expansion).
Sequence in context: A130594 A227173 A178998 * A258767 A169845 A302972
KEYWORD
nonn,cofr
AUTHOR
Clark Kimberling, Apr 13 2011
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 08 2024
STATUS
approved