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A188796 Continued fraction of e+sqrt(1+e^2). 1
5, 1, 1, 1, 1, 2, 7, 1, 7, 3, 1, 5, 2, 5, 1, 1, 1, 3, 6, 8, 26, 2, 1, 2, 3, 1, 1, 1, 13, 1, 10, 2, 5, 1, 10, 1, 1, 4, 1, 1, 2, 1, 3, 3, 2, 7, 1, 2, 21, 1, 1, 1, 1, 3, 2, 8, 9, 4, 2, 8, 1, 2, 1, 7, 1, 1, 19, 1, 4, 9, 1, 2, 1, 4, 2, 1, 4, 1, 4, 6, 2, 5, 10, 1, 2, 2, 10, 1, 1, 25, 1, 4, 13, 9, 2, 1, 2, 4, 8, 1, 1, 33, 1, 2, 1, 1, 1, 21, 1, 3, 1, 18, 1, 6, 43, 2, 1, 1, 1, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A188640 for the origin of this constant.

LINKS

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

FORMULA

e+sqrt(1+e^2)) = 5.614668.. = [5,1,1,1,1,2,7,1,7,3,1,5,2,5,1,1,1,...].

MATHEMATICA

r = 2*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, A188721.

Sequence in context: A250662 A340366 A031261 * A161685 A257461 A129398

Adjacent sequences:  A188793 A188794 A188795 * A188797 A188798 A188799

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, Apr 10 2011

STATUS

approved

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Last modified March 3 09:04 EST 2021. Contains 341760 sequences. (Running on oeis4.)