A159642 Decimal expansion of (649 + 36*sqrt(2))/647.

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

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 (36 + sqrt(2))/(36 - sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130013.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159641.

Minimal polynomial: 647*x^2 - 1298*x + 647. - Amiram Eldar, May 07 2026

Example

1.08178004365599910627026397847225522539182100079377...

Mathematica

RealDigits[(649+36*Sqrt[2])/647, 10, 100][[1]] (* G. C. Greubel, May 10 2018 *)

Prog

(PARI) (649+36*sqrt(2))/647 \\ G. C. Greubel, May 10 2018
(Magma) (649+36*Sqrt(2))/647; // G. C. Greubel, May 10 2018

Crossrefs

Cf. A130013, A159641, A002193 (decimal expansion of sqrt(2)), A159643 (decimal expansion of (1084467+707402*sqrt(2))/647^2).

Sequence in context: A301908 A200277 A242024 * A234614 A199872 A143548

Adjacent sequences: A159639 A159640 A159641 * A159643 A159644 A159645

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 21 2009

Status

approved