A083729 Decimal expansion of sqrt(2)/(sqrt(2)-1)^2 = 3*sqrt(2)+4.

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

Offset

1,1

Links

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

Formula

Equals A010474 plus 4. - R. J. Mathar, Sep 17 2008

Equals Sum_{i>=1} i/sqrt(2)^i. - Christoph B. Kassir, Aug 30 2021

Example

8.242640687119285146405...

Mathematica

RealDigits[4 + 3*Sqrt[2], 10, 100][[1]] (* G. C. Greubel, Sep 11 2018 *)

Prog

(PARI) default(realprecision, 100); 4 + 3*sqrt(2) \\ G. C. Greubel, Sep 11 2018
(Magma) SetDefaultRealField(RealField(100)); 4 + 3*Sqrt(2); // G. C. Greubel, Sep 11 2018

Crossrefs

Cf. A010474, A072449.

Sequence in context: A333206 A357465 A125578 * A019775 A274211 A138499

Adjacent sequences: A083726 A083727 A083728 * A083730 A083731 A083732

Keyword

cons,nonn

Author

Benoit Cloitre, Jun 15 2003

Status

approved