A160099 Decimal expansion of (843 + 418*sqrt(2))/601.

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

Offset

1,1

Comments

Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A111258.

Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160098.

Links

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

Formula

Equals (38 + 11*sqrt(2))/(38 - 11*sqrt(2)).

Example

(843 + 418*sqrt(2))/601 = 2.38625835120125412711...

Mathematica

RealDigits[(843 +418*Sqrt[2])/601, 10, 100][[1]] (* G. C. Greubel, Apr 21 2018 *)

Prog

(PARI) (843+418*sqrt(2))/601 \\ G. C. Greubel, Apr 21 2018
(Magma) (843+418*Sqrt(2))/601; // G. C. Greubel, Apr 21 2018

Crossrefs

Cf. A111258, A160098, A002193 (decimal expansion of sqrt(2)), A160100 (decimal expansion of (361299+5950*sqrt(2))/601^2).

Sequence in context: A073875 A356883 A220395 * A309967 A321336 A093098

Adjacent sequences: A160096 A160097 A160098 * A160100 A160101 A160102

Keyword

cons,nonn

Author

Klaus Brockhaus, May 18 2009

Status

approved