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A188639
Decimal expansion of length/width of a 2nd electrum rectangle.
3
3, 0, 5, 8, 9, 5, 9, 3, 6, 6, 9, 9, 2, 8, 2, 0, 4, 5, 4, 0, 7, 0, 0, 1, 9, 2, 0, 2, 9, 0, 8, 5, 3, 2, 4, 0, 6, 5, 3, 0, 5, 0, 5, 7, 5, 2, 5, 1, 9, 5, 6, 6, 7, 8, 1, 0, 9, 7, 3, 3, 0, 8, 8, 1, 3, 8, 8, 0, 0, 6, 0, 8, 5, 7, 5, 6, 5, 5, 6, 7, 6, 4, 1, 3, 3, 3, 5, 6, 2, 4, 7, 1, 7, 5, 2, 1, 0, 8, 6, 1, 9, 5, 7, 8, 3, 3, 0, 9, 9, 1, 5, 4, 1, 6, 2, 9, 3, 8, 5, 4, 4, 6, 5, 4, 4, 7, 6, 0, 1, 9
OFFSET
1,1
COMMENTS
See A188619 for the definition of 2nd electrum rectangle. Briefly, it is a rectangle such that the removal of a silver rectangle from one end leaves a golden rectangle.
LINKS
Clark Kimberling, A Visual Euclidean Algorithm, The Mathematics Teacher 76 (1983) 108-109.
MATHEMATICA
t=1+3^(1/2); r=(t+(t^2+4)^(1/2))/2
FullSimplify[r]
N[r, 130]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Apr 06 2011
STATUS
approved