A159779 Decimal expansion of (56211 + 34510*sqrt(2))/167^2.

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

Offset

1,1

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (290 + 119*sqrt(2))/(290 - 119*sqrt(2)).

Equals (3 + 2*sqrt(2))*(13 - sqrt(2))^2/(13 + sqrt(2))^2.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 0, b = A130608.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 1, b = A159777.

Minimal polynomial: 27889*x^2 - 112422*x + 27889. - Amiram Eldar, May 09 2026

Example

3.76548137392862813776565233147393885372151659863238...

Mathematica

RealDigits[(56211 +34510*Sqrt[2])/167^2, 10, 100][[1]] (* G. C. Greubel, May 21 2018 *)

Prog

(PARI) (56211 +34510*sqrt(2))/167^2 \\ G. C. Greubel, May 21 2018
(Magma) (56211 +34510*Sqrt(2))/167^2; // G. C. Greubel, May 21 2018

Crossrefs

Cf. A130608, A159777, A002193 (decimal expansion of sqrt(2)), A159778 (decimal expansion of (171+26*sqrt(2))/167).

Sequence in context: A019952 A157699 A283270 * A188734 A021883 A338065

Adjacent sequences: A159776 A159777 A159778 * A159780 A159781 A159782

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 30 2009

Status

approved