A176323 Decimal expansion of (10+sqrt(110))/4.

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

Offset

1,1

Comments

Continued fraction expansion of (10+sqrt(110))/4 is A010719.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 8*x^2 - 40*x - 5. - Amiram Eldar, May 03 2026

Example

5.12202212042537886747863378419984399618817964420375...

Maple

evalf( (10+sqrt(110))/4, 100); # G. C. Greubel, Dec 05 2019

Mathematica

RealDigits[(10+Sqrt[110])/4, 10, 120][[1]] (* Harvey P. Dale, Jun 09 2016 *)

Prog

(PARI) default(realprecision, 100); (10+sqrt(110))/4 \\ G. C. Greubel, Dec 05 2019
(Magma) SetDefaultRealField(RealField(100)); (10+Sqrt(110))/4; // G. C. Greubel, Dec 05 2019
(SageMath) numerical_approx((10+sqrt(110))/4, digits=100) # G. C. Greubel, Dec 05 2019

Crossrefs

Cf. A176221 (decimal expansion of sqrt(110)), A010719 (repeat 5, 8).

Sequence in context: A231990 A369915 A010131 * A260821 A068115 A068139

Adjacent sequences: A176320 A176321 A176322 * A176324 A176325 A176326

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 15 2010

Status

approved