A188927 - OEIS

A188927

Continued fraction of sqrt((7+sqrt(13))/6).

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

0,2

COMMENTS

For a geometric interpretation, see A188640 and A188926.

LINKS

Table of n, a(n) for n=0..119.

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]