A188637 - OEIS

A188637

Continued fraction for length/width of a meta-silver rectangle.

2, 1, 3, 2, 3, 2, 7, 1, 1, 114, 11, 1, 2, 1, 18, 2, 1, 1, 1, 3, 15, 3, 2, 2, 6, 1, 1, 1, 1, 1, 2, 2, 200, 5, 176, 3, 3, 2, 1, 4, 3, 2, 1, 1, 5, 3, 2, 1, 2, 225, 2, 9, 1, 34, 1, 2, 3, 29, 2, 1, 9, 1, 2, 1, 73, 4, 2, 1, 8, 1, 2, 1, 21, 4, 2, 3, 1, 5, 1, 1, 2, 8, 1, 1, 2, 2, 2, 10, 3, 1, 6, 1, 21, 4, 9, 3, 1, 1, 4, 2, 28, 4, 5, 3, 3, 1, 1, 1, 3, 1, 1, 2, 2, 1, 4, 4, 8, 15, 3

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OFFSET

0,1

COMMENTS

See A188636 for details.

LINKS

Table of n, a(n) for n=0..118.

Clark Kimberling, A Visual Euclidean Algorithm, The Mathematics Teacher 76 (1983) 108-109.

MATHEMATICA

t=1+2^(1/2); r=(t+(t^2+4)^(1/2))/2

FullSimplify[r]

ContinuedFraction[r, 120]