A159549 Decimal expansion of (201 + 20*sqrt(2))/199.

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

Offset

1,3

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (20+sqrt(2))/(20-sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129993.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159548.

Minimal polynomial: 199*x^2 - 402*x + 199. - Amiram Eldar, May 05 2026

Example

1.152182267575185432040370726051225937544690640741401...

Maple

with(MmaTranslator[Mma]): Digits:=100:
RealDigits(evalf((201+20*sqrt(2))/199))[1]; # Muniru A Asiru, Mar 31 2018

Mathematica

RealDigits[(201+20*Sqrt[2])/199, 10, 100][[1]] (* G. C. Greubel, Mar 30 2018 *)

Prog

(PARI) (201+20*sqrt(2))/199 \\ G. C. Greubel, Mar 30 2018
(Magma) (201 + 20*Sqrt(2))/199; // G. C. Greubel, Mar 30 2018

Crossrefs

Cf. A129993, A159548, A002193 (decimal expansion of sqrt(2)), A159550 (decimal expansion of (91443+58282*sqrt(2))/199^2).

Sequence in context: A188596 A199622 A156730 * A011394 A321289 A318380

Adjacent sequences: A159546 A159547 A159548 * A159550 A159551 A159552

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 14 2009

Status

approved