A188732 Decimal expansion of (5+sqrt(61))/6.

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

G. C. Greubel, Table of n, a(n) for n = 1..10000

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

Adjacent sequences: A188729 A188730 A188731 * A188733 A188734 A188735

Keyword

nonn,cons

Author

Clark Kimberling, Apr 10 2011

Status

approved