A176218 Decimal expansion of (4 + 3*sqrt(2))/2.

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

Offset

1,1

Comments

Continued fraction expansion of (4 + 3*sqrt(2))/2 is A010713.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 2*x^2 - 8*x - 1. - Amiram Eldar, Apr 28 2026

Example

4.12132034355964257320253308631454711785450781306542...

Maple

evalf((4+3*sqrt(2))/2, 120); # Muniru A Asiru, Sep 29 2018

Mathematica

RealDigits[(4 + 3*Sqrt[2])/2, 10, 100][[1]] (* G. C. Greubel, Sep 29 2018 *)

Prog

(PARI) default(realprecision, 100); (4+3*sqrt(2))/2 \\ G. C. Greubel, Sep 29 2018
(Magma) SetDefaultRealField(RealField(100)); (4+3*Sqrt(2))/2; // G. C. Greubel, Sep 29 2018

Crossrefs

Cf. A002193 (decimal expansion of sqrt(2)), A010713 (repeat 4, 8).

Sequence in context: A244424 A322574 A030787 * A109008 A187025 A388322

Adjacent sequences: A176215 A176216 A176217 * A176219 A176220 A176221

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 12 2010

Status

approved