A157121 Decimal expansion of 11+3*sqrt(2).

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

Offset

2,2

Comments

Limit_{n -> oo} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {1, 2}, b = A157119.

Limit_{n -> oo} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {0, 2}, b = A157120.

Links

Muniru A Asiru, Table of n, a(n) for n = 2..2000

Index entries for algebraic numbers, degree 2.

Formula

Equals 7 + A083729 = 11 + A010474. - R. J. Mathar, Feb 27 2009

Minimal polynomial: x^2 - 22*x + 103. - Amiram Eldar, May 03 2026

Example

15.2426406871192851464050661726290942357090156261308..

Maple

evalf[120](11+3*sqrt(2)); # Muniru A Asiru, Feb 12 2019

Mathematica

RealDigits[11+3*Sqrt[2], 10, 120][[1]] (* Harvey P. Dale, Sep 12 2012 *)

Crossrefs

Cf. A010474, A083729, A157119, A157120, A157122 (decimal expansion of 11-3*sqrt(2)), A157123 (decimal expansion of (11+3*sqrt(2))/(11-3*sqrt(2))).

Sequence in context: A257480 A181696 A388216 * A372286 A368690 A083241

Adjacent sequences: A157118 A157119 A157120 * A157122 A157123 A157124

Keyword

cons,nonn

Author

Klaus Brockhaus, Feb 25 2009

Status

approved