A176318 Decimal expansion of (15 + sqrt(285))/6.

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

Offset

1,1

Comments

Continued fraction expansion of (15+sqrt(285))/6 is A010703 preceded by 5.

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 3*x^2 - 15*x - 5. - Stefano Spezia, Oct 07 2025

Example

(15+sqrt(285))/6 = 5.31365716935568869718...
5.31365716935568869718614823492035166480807952627080899210830062132209935838....

Maple

evalf( (15+sqrt(285))/6, 120); # G. C. Greubel, Nov 26 2019

Mathematica

RealDigits[(15+Sqrt[285])/6, 10, 120][[1]] (* Harvey P. Dale, May 07 2017 *)

Prog

(PARI) default(realprecision, 120); (15+sqrt(285))/6 \\ G. C. Greubel, Nov 26 2019
(Magma) SetDefaultRealField(RealField(120)); (15 + Sqrt(285))/6; // G. C. Greubel, Nov 26 2019
(SageMath) numerical_approx((15+sqrt(285))/6, digits=120) # G. C. Greubel, Nov 26 2019

Crossrefs

Cf. A176104 (decimal expansion of sqrt(285)), A010703 (repeat 3, 5).

Sequence in context: A279903 A309446 A242439 * A190406 A389484 A021657

Adjacent sequences: A176315 A176316 A176317 * A176319 A176320 A176321

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 15 2010

Status

approved