A176320 Decimal expansion of (15 + sqrt(255))/6.

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

Offset

1,1

Comments

Continued fraction expansion of (15+sqrt(255))/6 is A010717.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 6*x^2 - 30*x - 5. - Amiram Eldar, May 04 2026

Example

5.16145323711188533317837419616343564026122495072923...

Maple

evalf( (15+sqrt(255))/6, 120); # G. C. Greubel, Nov 26 2019

Mathematica

RealDigits[(15+Sqrt[255])/6, 10, 100][[1]] (* Vincenzo Librandi, Sep 24 2013 *)

Prog

(PARI) default(realprecision, 120); (15+sqrt(255))/6 \\ G. C. Greubel, Nov 26 2019
(Magma) SetDefaultRealField(RealField(120)); (15+Sqrt(255))/6; // G. C. Greubel, Nov 26 2019
(SageMath) numerical_approx((15+sqrt(255))/6, digits=120) # G. C. Greubel, Nov 26 2019

Crossrefs

Cf. A176110 (decimal expansion of sqrt(255)), A010717 (repeat 5, 6).

Sequence in context: A290797 A375066 A200423 * A190185 A331189 A176123

Adjacent sequences: A176317 A176318 A176319 * A176321 A176322 A176323

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 15 2010

Status

approved