A188730 Decimal expansion of (2+sqrt(29))/5.

1, 4, 7, 7, 0, 3, 2, 9, 6, 1, 4, 2, 6, 9, 0, 0, 8, 0, 6, 2, 5, 0, 1, 4, 2, 0, 9, 8, 3, 0, 8, 0, 6, 5, 9, 1, 1, 2, 5, 9, 0, 2, 4, 0, 3, 2, 3, 2, 8, 9, 5, 7, 7, 6, 7, 5, 3, 6, 0, 7, 7, 7, 3, 4, 0, 0, 3, 3, 2, 9, 1, 9, 2, 5, 6, 5, 5, 3, 1, 7, 3, 8, 5, 7, 5, 3, 2, 6, 7, 5, 6, 3, 3, 5, 9, 6, 7, 0, 9, 6, 8, 8, 3, 7, 4, 0, 9, 6, 4, 3, 5, 8, 7, 8, 9, 1, 5, 2, 1, 2, 1, 5, 3, 7, 7, 2, 4, 2, 8, 0

Offset

1,2

Comments

Decimal expansion of shape of a (4/5)-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 1/r when r<1.

The continued fractions of the constant are 1, 2, 10, 2, 1, 1, 2, 10, 2, 1, 1, 2, 10, 2, 1, 1, 2, 10, 2, 1, 1, 2...

Links

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

Example

1.4770329614269008062501420983080659112590240323289577675360...

Maple

evalf((2+sqrt(29))/5, 140); # Muniru A Asiru, Nov 01 2018

Mathematica

RealDigits[(2 + Sqrt[29])/5, 10, 111][[1]] (* Robert G. Wilson v, Aug 18 2011 *)

Prog

(PARI) default(realprecision, 100); (2+sqrt(29))/5 \\ G. C. Greubel, Nov 01 2018
(Magma) SetDefaultRealField(RealField(100)); (2+Sqrt(29))/5; // G. C. Greubel, Nov 01 2018

Crossrefs

Cf. A188640, A188658, A188659, A188729, A188730.

Sequence in context: A122460 A256659 A063845 * A019714 A021681 A114490

Adjacent sequences: A188727 A188728 A188729 * A188731 A188732 A188733

Keyword

nonn,cons

Author

Clark Kimberling, Apr 10 2011

Status

approved