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A188732
Decimal expansion of (5+sqrt(61))/6.
1
2, 1, 3, 5, 0, 4, 1, 6, 1, 2, 6, 5, 1, 1, 0, 9, 0, 6, 5, 6, 8, 8, 2, 8, 7, 1, 2, 2, 6, 2, 6, 5, 1, 6, 9, 0, 2, 2, 6, 1, 3, 8, 4, 1, 8, 9, 4, 4, 1, 4, 2, 7, 2, 1, 6, 6, 9, 6, 2, 0, 7, 2, 9, 3, 3, 6, 5, 1, 3, 0, 9, 3, 1, 4, 8, 9, 4, 5, 4, 5, 0, 9, 0, 7, 0, 9, 0, 5, 5, 0, 8, 7, 1, 1, 1, 6, 7, 4, 8, 2, 5, 3, 0, 1, 5, 0, 2, 7, 2, 4, 5, 2, 9, 0, 1, 2, 1, 8, 7, 4, 6, 9, 1, 0, 7, 5, 7, 0, 5, 8
OFFSET
1,1
COMMENTS
Decimal expansion of shape of a (5/3)-extension rectangle; see A188640 for definitions of shape and r-extension rectangle. Briefly, shape=length/width, and an r-extension rectangle is composed of two rectangles of shape r.
The continued fractions of the constant are 2, 7, 2, 2, 7, 2, 2, 7, 2, 2, 7, 2, 2,...
LINKS
EXAMPLE
2.1350416126511090656882871226265169022613841894414272166962...
MAPLE
evalf((5+sqrt(61))/6, 140); # Muniru A Asiru, Nov 01 2018
MATHEMATICA
RealDigits[(5 + Sqrt[61])/6, 10, 111][[1]] (* Robert G. Wilson v, Aug 18 2011 *)
PROG
(PARI) (sqrt(61)+5)/16 \\ Charles R Greathouse IV, Apr 25 2016
(Magma) SetDefaultRealField(RealField(100)); (5+Sqrt(61))/6; // G. C. Greubel, Nov 01 2018
CROSSREFS
Cf. A188640.
Sequence in context: A370550 A276811 A317750 * A085189 A130466 A239306
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Apr 10 2011
STATUS
approved