A190263 - OEIS

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A190263

Continued fraction of (3 + sqrt(9 + 12*sqrt(3)))/6.

1, 2, 2, 3, 1, 3, 2, 1, 1, 1, 1, 8, 2, 17, 2, 3, 10, 2, 23, 1, 4, 1, 2, 1, 4, 1, 2, 35, 4, 1, 1, 1, 2, 5, 4, 1, 1, 3, 17, 3, 2, 1, 3, 1, 3, 1, 1, 10, 3, 1, 13, 1, 1, 1, 4, 1, 2, 2, 2, 1, 2, 15, 3, 2, 5, 6, 2, 1, 15, 132, 4, 2, 1, 1, 19, 1, 4, 1, 2, 5, 2, 16, 2, 1, 15, 5, 2, 10, 13, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Equivalent to the periodic continued fraction [1, x, 1, x,...], where x=sqrt(3). (See A188635.)

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

r=3^(1/2)

FromContinuedFraction[{1, r, {1, r}}]

FullSimplify[%]

ContinuedFraction[%, 100] (* A190263 *)