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A188927 Continued fraction of sqrt((7+sqrt(13))/6). 1
1, 3, 28, 1, 2, 2, 42, 1, 1, 1, 4, 2, 2, 5, 3, 1, 6, 12, 1, 9, 1, 2, 14, 2, 1, 3, 1, 16, 3, 2, 1, 1, 1, 1, 2, 34, 1, 3, 5, 1, 2, 2, 1, 27, 1, 1, 4, 3, 1, 3, 1, 16, 1, 7, 2, 15, 1, 30, 1, 78, 1, 2, 1, 6, 5, 1, 1, 5, 1, 393, 3, 13, 2, 1, 2, 1, 5, 1, 7, 1, 31, 2, 1, 3, 1, 24, 1, 1, 5, 1, 2, 1, 2, 1, 4, 6, 10, 1, 10, 8, 1, 12, 73, 1, 2, 2, 1, 17, 1, 1, 1, 24, 1, 1, 3, 14, 1, 1, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For a geometric interpretation, see A188640 and A188926.

LINKS

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

EXAMPLE

sqrt((7+sqrt(13))/6)=[1,3,28,1,2,2,42,1,1,1,4,2,2,5,...].

MATHEMATICA

r = 3^(-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. A188640, A188926.

Sequence in context: A014222 A071107 A162414 * A146072 A064234 A224579

Adjacent sequences:  A188924 A188925 A188926 * A188928 A188929 A188930

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, Apr 13 2011

STATUS

approved

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Last modified October 15 13:38 EDT 2019. Contains 328030 sequences. (Running on oeis4.)