A157350 Decimal expansion of (130803 + 73738*sqrt(2))/281^2.

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

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 (458 + 161*sqrt(2))/(458 - 161*sqrt(2)).

Equals (3 + 2*sqrt(2))*(17 - 2*sqrt(2))^2/(17 + 2*sqrt(2))^2.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 0, b = A129626.

Equals lim_{n -> o} b(n)/b(n-1) for n mod 3 = 1, b = A157348.

Minimal polynomial: 78961*x^2 - 261606*x + 78961. - Amiram Eldar, May 05 2026

Example

2.97722014237746840476360384424937268927154500001957...

Mathematica

RealDigits[(130803 + 73738*Sqrt[2])/281^2, 10, 100][[1]] (* G. C. Greubel, Feb 01 2018 *)

Prog

(PARI) (130803+73738*sqrt(2))/281^2 \\ G. C. Greubel, Feb 01 2018
(Magma) (130803+73738*Sqrt(2))/281^2; // G. C. Greubel, Feb 01 2018

Crossrefs

Cf. A129626, A157348, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A157349 (decimal expansion of (297+68*sqrt(2))/281).

Sequence in context: A021340 A241753 A382561 * A121837 A160439 A245287

Adjacent sequences: A157347 A157348 A157349 * A157351 A157352 A157353

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 12 2009

Status

approved