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A160205 Decimal expansion of (989043+524338*sqrt(2))/809^2. 4
2, 6, 4, 4, 1, 8, 5, 1, 0, 3, 7, 1, 9, 7, 1, 6, 7, 0, 9, 4, 2, 1, 0, 2, 1, 9, 4, 2, 9, 9, 7, 0, 6, 8, 9, 3, 1, 1, 3, 9, 4, 2, 8, 9, 7, 0, 1, 1, 7, 3, 8, 7, 9, 7, 4, 2, 7, 7, 8, 0, 7, 7, 5, 9, 8, 2, 5, 8, 5, 3, 8, 9, 9, 9, 4, 7, 9, 9, 5, 8, 6, 3, 1, 9, 0, 4, 2, 7, 9, 8, 6, 4, 1, 1, 0, 4, 4, 6, 7, 0, 4, 5, 6, 0, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

11,1

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A123654.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160203.

LINKS

G. C. Greubel, Table of n, a(n) for n = 11..10000

FORMULA

Equals (1282 +409*sqrt(2))/(1282 -409*sqrt(2)).

Equals (3+2*sqrt(2))*(29-4*sqrt(2))^2/(29+4*sqrt(2))^2.

EXAMPLE

(989043+524338*sqrt(2))/809^2 = 2.64418510371971670942...

MATHEMATICA

RealDigits[(989043+524338*Sqrt[2])/809^2, 10, 100][[1]] (* G. C. Greubel, Apr 25 2018 *)

PROG

(PARI) (989043+524338*sqrt(2))/809^2 \\ G. C. Greubel, Apr 25 2018

(MAGMA) (989043+524338*Sqrt(2))/809^2; // G. C. Greubel, Apr 25 2018

CROSSREFS

Cf. A123654, A160203, A002193 (decimal expansion of sqrt(2)), A160204 (decimal expansion of (873+232*sqrt(2))/809).

Sequence in context: A216153 A100115 A029670 * A187817 A276678 A276680

Adjacent sequences:  A160202 A160203 A160204 * A160206 A160207 A160208

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, May 18 2009

STATUS

approved

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Last modified November 18 09:23 EST 2018. Contains 317279 sequences. (Running on oeis4.)