A159778 Decimal expansion of (171+26*sqrt(2))/167.

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

Offset

1,2

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (13 + sqrt(2))/(13 - sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130608.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159777.

Minimal polynomial: 167*x^2 - 342*x + 167. - Amiram Eldar, May 09 2026

Example

1.24412905761497288184936471155360568887911059137605...

Mathematica

RealDigits[(171+26*Sqrt[2])/167, 10, 100][[1]] (* G. C. Greubel, May 21 2018 *)

Prog

(PARI) (171+26*sqrt(2))/167 \\ G. C. Greubel, May 21 2018
(Magma) (171 +26*Sqrt(2))/167; // G. C. Greubel, May 21 2018

Crossrefs

Cf. A130608, A159777, A002193 (decimal expansion of sqrt(2)), A159779 (decimal expansion of (56211+34510*sqrt(2))/167^2).

Sequence in context: A238094 A140734 A295633 * A389107 A243278 A378978

Adjacent sequences: A159775 A159776 A159777 * A159779 A159780 A159781

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 30 2009

Status

approved