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A160205
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Decimal expansion of (989043+524338*sqrt(2))/809^2.
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3
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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; internal format)
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OFFSET
| 11,1
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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.
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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.
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EXAMPLE
| (989043+524338*sqrt(2))/809^2 = 2.64418510371971670942...
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CROSSREFS
| Cf. A123654, A160203, A002193 (decimal expansion of sqrt(2)), A160204 (decimal expansion of (873+232*sqrt(2))/809).
Sequence in context: A102510 A100115 A029670 * A053794 A003077 A057143
Adjacent sequences: A160202 A160203 A160204 * A160206 A160207 A160208
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 18 2009
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