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Search: id:A160576
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A160576 Decimal expansion of (119187+47998*sqrt(2))/313^2. +0
4
1, 9, 0, 9, 4, 4, 5, 0, 5, 4, 7, 2, 9, 3, 9, 2, 1, 1, 5, 3, 8, 7, 3, 5, 1, 6, 6, 6, 1, 8, 6, 4, 1, 7, 0, 1, 3, 2, 9, 1, 8, 2, 8, 1, 3, 6, 1, 8, 9, 4, 3, 4, 9, 6, 0, 2, 0, 5, 1, 0, 8, 4, 9, 4, 1, 5, 7, 1, 2, 2, 9, 4, 1, 9, 6, 3, 5, 2, 1, 2, 5, 3, 1, 5, 9, 0, 6, 9, 7, 1, 4, 6, 3, 0, 7, 3, 1, 5, 6, 0, 0, 6, 6, 2, 9 (list; cons; graph; listen)
OFFSET

1,2

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (119187+47998*sqrt(2))/313^2 for n mod 3 = 0, b = A129640.

lim_{n -> infinity} b(n)/b(n-1) = (119187+47998*sqrt(2))/313^2 for n mod 3 = 1, b = A160574.

FORMULA

(119187+47998*sqrt(2))/313^2 = (932+206*sqrt(2))/(932-206*sqrt(2))

= (3+2*sqrt(2))*(26-5*sqrt(2))^2/(26+5*sqrt(2))^2.

EXAMPLE

(119187+47998*sqrt(2))/313^2 = 1.90944505472939211538...

CROSSREFS

Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160575 (decimal expansion of (363+130*sqrt(2))/313).

Sequence in context: A021015 A010680 A131566 this_sequence A104756 A154994 A132268

Adjacent sequences: A160573 A160574 A160575 this_sequence A160577 A160578 A160579

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 08 2009

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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