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A160576
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Decimal expansion of (119187+47998*sqrt(2))/313^2.
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3
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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.
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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.
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EXAMPLE
| (119187+47998*sqrt(2))/313^2 = 1.90944505472939211538...
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CROSSREFS
| Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160575 (decimal expansion of (363+130*sqrt(2))/313).
Sequence in context: A010680 A198220 A131566 * A104756 A154994 A132268
Adjacent sequences: A160573 A160574 A160575 * A160577 A160578 A160579
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 08 2009
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