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A157299
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Decimal expansion of (82611+44030*sqrt(2))/233^2.
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3
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2, 6, 6, 8, 6, 5, 8, 9, 0, 2, 3, 7, 9, 6, 2, 3, 4, 0, 4, 3, 4, 9, 6, 5, 3, 7, 8, 8, 5, 5, 6, 6, 6, 9, 0, 5, 6, 3, 3, 5, 9, 5, 4, 8, 4, 6, 7, 0, 6, 4, 6, 0, 3, 0, 8, 0, 1, 7, 6, 3, 1, 7, 2, 7, 6, 7, 4, 7, 0, 2, 9, 9, 7, 4, 1, 5, 4, 3, 5, 4, 0, 9, 0, 2, 5, 4, 4, 8, 3, 0, 6, 9, 5, 8, 0, 5, 8, 8, 7, 8, 3, 6, 4, 3, 5
(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) = (82611+44030*sqrt(2))/233^2 for n mod 3 = 0, b = A129625.
lim_{n -> infinity} b(n)/b(n-1) = (82611+44030*sqrt(2))/233^2 for n mod 3 = 1, b = A157297.
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FORMULA
| (82611+44030*sqrt(2))/233^2 = (370+119*sqrt(2))/(370-119*sqrt(2))
= (3+2*sqrt(2))*(22-3*sqrt(2))^2/(22+3*sqrt(2))^2.
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EXAMPLE
| (82611+44030*sqrt(2))/233^2 = 2.66865890237962340434...
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CROSSREFS
| Cf. A129625, A157297, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A157298 (decimal expansion of (251+66*sqrt(2))/233).
Sequence in context: A197850 A010591 A177934 * A082911 A005869 A021978
Adjacent sequences: A157296 A157297 A157298 * A157300 A157301 A157302
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 11 2009
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