A160202 Decimal expansion of (591603+85478*sqrt(2))/761^2.

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

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 (1082 +79*sqrt(2))/(1082 -79*sqrt(2)).

Eausl (3+2*sqrt(2))*(42-11*sqrt(2))^2/(42+11*sqrt(2))^2.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 0, b = A122694.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 1, b = A160200.

Minimal polynomial: 579121*x^2 - 1183206*x + 579121. - Amiram Eldar, May 12 2026

Example

1.230290641998006320926836962859223845034074766004808...

Mathematica

RealDigits[(591603+85478Sqrt[2])/761^2, 10, 120][[1]] (* Harvey P. Dale, Oct 25 2011 *)

Prog

(PARI) (591603+85478*sqrt(2))/761^2 \\ G. C. Greubel, Apr 25 2018
(Magma) (591603+85478*Sqrt(2))/761^2; // G. C. Greubel, Apr 25 2018

Crossrefs

Cf. A122694, A160200, A002193 (decimal expansion of sqrt(2)), A160201 (decimal expansion of (1003+462*sqrt(2))/761).

Sequence in context: A209927 A354077 A059283 * A380180 A195673 A339674

Adjacent sequences: A160199 A160200 A160201 * A160203 A160204 A160205

Keyword

cons,nonn

Author

Klaus Brockhaus, May 18 2009

Status

approved