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A188721
Continued fraction of (e+sqrt(4+e^2))/2.
2
3, 21, 2, 40, 1, 8, 1, 18, 1, 4, 2, 7, 14, 25, 1, 2, 1, 4, 1, 1, 1, 1, 2, 8, 50, 4, 1, 1, 3, 1, 11, 1, 1, 2, 3, 1, 1, 3, 1, 2, 22, 1, 1, 4, 1, 4, 1, 1, 4, 4, 2, 2, 2, 57, 1, 1, 34, 5, 1, 2, 2, 1, 1, 8, 13, 2, 3, 3, 17, 1, 1, 49, 1, 2, 1, 5, 1, 7, 1, 9, 1, 11, 1, 1, 7, 13, 1, 1, 59, 4, 8, 1, 3, 1, 4, 6, 1, 9, 11, 1, 1, 4, 456, 2, 8, 23, 2, 4, 2, 2, 1066, 1, 2, 2, 1, 11, 1, 3, 2, 26
OFFSET
0,1
COMMENTS
See A188640 and A188720.
MATHEMATICA
r = E; t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]
N[t, 130]
RealDigits[N[t, 130]][[1]]
ContinuedFraction[t, 120]
CROSSREFS
Cf. A188640, A188720 (decimal expansion).
Sequence in context: A024011 A361153 A229197 * A379230 A371102 A367324
KEYWORD
nonn,cofr
AUTHOR
Clark Kimberling, Apr 09 2011
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 07 2024
STATUS
approved