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A188942 Decimal expansion of (7-sqrt(13))/6. 1
5, 6, 5, 7, 4, 1, 4, 5, 4, 0, 8, 9, 3, 3, 5, 1, 1, 7, 8, 1, 3, 4, 6, 3, 1, 2, 2, 0, 8, 8, 2, 5, 0, 6, 7, 5, 6, 2, 4, 7, 8, 3, 9, 0, 4, 3, 5, 9, 1, 2, 5, 6, 3, 1, 2, 1, 4, 9, 2, 4, 4, 9, 0, 6, 2, 8, 8, 0, 5, 5, 0, 8, 6, 1, 7, 8, 3, 1, 5, 9, 2, 4, 6, 5, 8, 9, 6, 8, 1, 9, 6, 6, 3, 5, 8, 4, 8, 8, 0, 3, 8, 7, 7, 4, 7, 6, 3, 6, 3, 2, 9, 3, 2, 2, 7, 4, 3, 2, 7, 0, 6, 6, 1, 5, 5, 3, 6, 2, 2, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Decimal expansion of the shape (= length/width = ((7-sqrt(13))/6) of the lesser (7/3)-contraction rectangle.

See A188738 for an introduction to lesser and greater r-contraction rectangles, their shapes, and partitioning these rectangles into a sets of squares in a manner that matches the continued fractions of their shapes.

LINKS

Table of n, a(n) for n=1..130.

EXAMPLE

0.56574145408933511781346312208825067562478390...

MATHEMATICA

r = 7/3; t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t]

N[t, 130]

RealDigits[N[t, 130]][[1]]

ContinuedFraction[t, 120]

CROSSREFS

Cf. A188738, A188943.

Sequence in context: A010487 A177957 A223171 * A011258 A217177 A157339

Adjacent sequences:  A188939 A188940 A188941 * A188943 A188944 A188945

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Apr 14 2011

STATUS

approved

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Last modified October 6 04:36 EDT 2022. Contains 357261 sequences. (Running on oeis4.)