A159566 Decimal expansion of (243+22*sqrt(2))/241.

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

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 (22+sqrt(2))/(22-sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129991.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159565.

Minimal polynomial: 241*x^2 - 486*x + 241. - Amiram Eldar, May 05 2026

Example

1.13739708868136137374953175075773177480718996372735...

Mathematica

RealDigits[(243+22*Sqrt[2])/241, 10, 100][[1]] (* G. C. Greubel, May 05 2018 *)

Prog

(PARI) (243+22*sqrt(2))/241 \\ G. C. Greubel, May 05 2018
(Magma) (243+22*Sqrt(2))/241; // G. C. Greubel, May 05 2018

Crossrefs

Cf. A129991, A159565, A002193 (decimal expansion of sqrt(2)), A159567 (decimal expansion of (137283+87958*sqrt(2))/241^2).

Sequence in context: A019785 A074176 A005596 * A316255 A372562 A096385

Adjacent sequences: A159563 A159564 A159565 * A159567 A159568 A159569

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 16 2009

Status

approved