A161484 Decimal expansion of (187 + 78*sqrt(2))/151.

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

Offset

1,2

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A161482.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A161483.

Links

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

Formula

Equals (13 + 3*sqrt(2))/(13 - 3*sqrt(2)).

Example

(187 + 78*sqrt(2))/151 = 1.96893150904040671395...

Maple

with(MmaTranslator[Mma]): Digits:=150:
RealDigits(evalf((187+78*sqrt(2))/151))[1]; # Muniru A Asiru, Apr 08 2018

Mathematica

RealDigits[(187+78Sqrt[2])/151, 10, 120][[1]] (* Harvey P. Dale, Apr 29 2011 *)

Prog

(PARI) (187 + 78*sqrt(2))/151 \\ G. C. Greubel, Apr 07 2018
(Magma) (187 + 78*Sqrt(2))/151; // G. C. Greubel, Apr 07 2018

Crossrefs

Cf. A161482, A161483, A002193 (decimal expansion of sqrt(2)), A161485 (decimal expansion of (24723+6758*sqrt(2))/151^2).

Sequence in context: A154205 A258407 A138500 * A103985 A153071 A336085

Adjacent sequences: A161481 A161482 A161483 * A161485 A161486 A161487

Keyword

cons,nonn

Author

Klaus Brockhaus, Jun 13 2009

Status

approved