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A189971 Continued fraction of (1+x+sqrt(14+10x))/4, where x=sqrt(5)). 2
2, 3, 6, 3, 1, 2, 15, 2, 3, 6, 1, 7, 1, 4, 2, 3, 1, 4, 2, 1, 1, 1, 2, 1, 20, 17, 3, 1, 2, 3, 1, 1, 3, 1, 4, 9, 73, 1, 37, 192, 3, 1, 1, 1, 1, 5, 1, 21, 1, 6, 7, 1, 3, 3, 1, 8, 2, 2, 1, 1, 8, 1, 2, 1, 1, 8, 1, 2, 1, 20, 2, 16, 3, 19, 2, 1, 3, 7, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 9, 32, 1, 1, 10, 5, 1, 7, 5, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equivalent to the periodic continued fraction [r,1,r,1,...] where r=(1+sqrt(5))/2, the golden ratio.  For geometric interpretations of both continued fractions, see A189970 and A188635.

LINKS

Table of n, a(n) for n=1..100.

MATHEMATICA

(See A189970.)

CROSSREFS

Cf. A189970, A188635, A190157, A190158.

Sequence in context: A115033 A214630 A093396 * A211605 A224504 A216059

Adjacent sequences:  A189968 A189969 A189970 * A189972 A189973 A189974

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, May 05 2011

STATUS

approved

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Last modified May 23 02:48 EDT 2013. Contains 225585 sequences.