A190286 Continued fraction of (3+sqrt(9+4r))/2, where r=sqrt(3).

3, 2, 55, 6, 1, 1, 1, 9, 1, 1, 1, 7, 2, 2, 1, 4, 2, 6, 1, 27, 1, 10, 5, 1, 1, 2, 2, 3, 6, 6, 1, 9, 1, 1, 5, 1, 2, 3, 94, 1, 13, 18, 7, 1, 1, 1, 4, 1, 20, 1, 2, 7, 11, 1, 26251, 1, 43, 1, 1, 5, 1, 1, 1, 1, 5, 1, 47, 1, 1, 2, 12, 6, 3, 4, 6, 7, 5, 1, 1, 1, 1, 1, 4, 6, 23, 3, 2, 1, 1, 2, 53

Offset

0,1

Comments

Equivalent to the periodic continued fraction [3, r, 3, r, ...] where r=sqrt(3). For geometric interpretations of both continued fractions, see A190285 and A188635.

Links

Table of n, a(n) for n=0..90.

Mathematica

(See A190285.)

Crossrefs

Cf. A188635, A190285.

Sequence in context: A336519 A231576 A336520 * A063513 A265635 A265619

Adjacent sequences: A190283 A190284 A190285 * A190287 A190288 A190289

Keyword

nonn,cofr

Author

Clark Kimberling, May 07 2011

Extensions

Offset changed by Andrew Howroyd, Jul 03 2024

Status

approved