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A160205 Decimal expansion of (989043+524338*sqrt(2))/809^2. 3
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

lim_{n -> infinity} b(n)/b(n-1) = (989043+524338*sqrt(2))/809^2 for n mod 3 = 0, b = A123654.

lim_{n -> infinity} b(n)/b(n-1) = (989043+524338*sqrt(2))/809^2 for n mod 3 = 1, b = A160203.

LINKS

Table of n, a(n) for n=11..115.

FORMULA

(989043+524338*sqrt(2))/809^2 = (1282+409*sqrt(2))/(1282-409*sqrt(2))

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

EXAMPLE

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

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 February 23 11:04 EST 2018. Contains 299536 sequences. (Running on oeis4.)