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A157260
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Decimal expansion of (7+2*sqrt(2))/(7-2*sqrt(2)).
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5
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2, 3, 5, 6, 0, 4, 8, 2, 8, 6, 4, 9, 8, 6, 9, 9, 0, 5, 7, 7, 1, 8, 2, 2, 6, 4, 4, 5, 8, 0, 1, 7, 4, 5, 0, 2, 9, 2, 6, 7, 0, 9, 2, 9, 8, 8, 0, 6, 2, 3, 0, 6, 0, 0, 1, 1, 9, 3, 8, 3, 0, 0, 6, 4, 9, 6, 9, 2, 8, 0, 7, 1, 6, 9, 9, 8, 5, 1, 2, 1, 2, 4, 0, 9, 2, 9, 4, 7, 5, 8, 4, 4, 1, 8, 8, 7, 7, 1, 7, 1, 6, 2, 3, 9, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (7+2*sqrt(2))/(7-2*sqrt(2)) for n mod 3 = {1, 2}, b = A129288.
lim_{n -> infinity} b(n)/b(n-1) = (7+2*sqrt(2))/(7-2*sqrt(2)) for n mod 3 = {0, 2}, b = A157257.
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FORMULA
| (7+2*sqrt(2))/(7-2*sqrt(2)) = (57+28*sqrt(2))/41. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 01 2009]
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EXAMPLE
| (7+2*sqrt(2))/(7-2*sqrt(2)) = 2.35604828649869905771...
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CROSSREFS
| Cf. A129288, A157257, A157258 (decimal expansion of 7+2*sqrt(2)), A157259 (decimal expansion of 7-2*sqrt(2)).
Cf. A157300 (decimal expansion of (1683+58*sqrt(2))/41^2). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 01 2009]
Sequence in context: A146305 A079022 A095296 * A177870 A094872 A201744
Adjacent sequences: A157257 A157258 A157259 * A157261 A157262 A157263
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 26 2009
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