A159702 Decimal expansion of (969 + 44*sqrt(2))/967.

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

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 (44 + sqrt(2))/(44 - sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130017.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159701.

Minimal polynomial: 967*x^2 - 1938*x + 967. - Amiram Eldar, May 10 2026

Example

1.06641716312762790294444085198058605528135011635634...

Mathematica

RealDigits[(969 +44*Sqrt[2])/967, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)

Prog

(PARI) (969 +44*sqrt(2))/967 \\ G. C. Greubel, May 22 2018
(Magma) (969 +44*Sqrt(2))/967; // G. C. Greubel, May 22 2018

Crossrefs

Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159703 (decimal expansion of (2487411+1629850*sqrt(2))/967^2).

Sequence in context: A019133 A214581 A094888 * A255188 A164510 A019957

Adjacent sequences: A159699 A159700 A159701 * A159703 A159704 A159705

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 21 2009

Status

approved