A156163 Decimal expansion of (19+6*sqrt(2))/17.

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

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 lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A155923.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A156159.

Minimal polynomial: 17*x^2 - 38*x + 17. - Amiram Eldar, Apr 28 2026

Example

1.61678125730815119369471366736812873361282536778009...

Mathematica

RealDigits[(19 + 6*Sqrt[2])/17, 10, 100][[1]] (* G. C. Greubel, Jul 05 2017 *)

Prog

(PARI) (6*sqrt(2)+19)/17 \\ Charles R Greathouse IV, Apr 25 2016

Crossrefs

Cf. A155923, A156159, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A156164 (decimal expansion of 17+12*sqrt(2)).

Sequence in context: A151784 A093563 A081775 * A301817 A011300 A222068

Adjacent sequences: A156160 A156161 A156162 * A156164 A156165 A156166

Keyword

nonn,cons

Author

Klaus Brockhaus, Feb 09 2009

Status

approved