A159627 Decimal expansion of (579 + 34*sqrt(2))/577.

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

Offset

1,3

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130005.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159626.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

Equals (34 + sqrt(2))/(34 - sqrt(2)).

Example

(579 + 34*sqrt(2))/577 = 1.08679941268749606873...

Mathematica

RealDigits[(579+34*Sqrt[2])/577, 10, 100][[1]] (* G. C. Greubel, May 10 2018 *)

Prog

(PARI) (579+34*sqrt(2))/577 \\ G. C. Greubel, May 10 2018
(Magma) (579+34*Sqrt(2))/577; // G. C. Greubel, May 10 2018

Crossrefs

Cf. A130005, A159626, A002193 (decimal expansion of sqrt(2)), A159628 (decimal expansion of (855171+556990*sqrt(2))/577^2).

Sequence in context: A378968 A011465 A192409 * A302682 A011298 A355185

Adjacent sequences: A159624 A159625 A159626 * A159628 A159629 A159630

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 21 2009

Status

approved