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A189041 Continued fraction for (e+sqrt(-4+e^2))/2. 2
2, 3, 1, 1, 2, 1, 3, 2, 1, 1, 2, 2, 1, 3, 3, 2, 1, 1, 1, 2, 23, 1, 1, 2, 33, 1, 1, 3, 1, 1, 20, 5, 40, 1, 3, 1, 25, 1, 2, 1, 26, 1, 6, 3, 1, 5, 5, 7, 1, 24, 5, 14, 1, 1, 2, 1, 8, 2, 1, 1, 10, 1, 1, 2, 1, 2, 2, 1440, 2, 17, 1, 1, 3, 4, 1, 18, 2, 1, 1, 1, 8, 1, 5, 1, 4, 18, 1, 3, 5, 1, 24, 3, 4, 1, 1, 4, 4, 1, 137, 3, 1, 1, 1, 6, 1, 1, 7, 1, 1, 2, 6, 1, 1, 5, 1, 2, 5, 7, 1, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

(e+sqrt(-4+e^2))/2=[2,3,1,1,2,1,3,2,1,1,2,2,...]

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. A189040.

Sequence in context: A105083 A191770 A120966 * A055444 A102383 A070913

Adjacent sequences:  A189038 A189039 A189040 * A189042 A189043 A189044

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, Apr 15 2011

STATUS

approved

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Last modified April 20 16:17 EDT 2019. Contains 322310 sequences. (Running on oeis4.)