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A160178
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Decimal expansion of (755667+461578*sqrt(2))/617^2.
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3
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3, 6, 9, 9, 7, 0, 4, 6, 6, 1, 0, 0, 4, 2, 5, 4, 0, 4, 0, 5, 3, 1, 2, 1, 0, 1, 9, 5, 0, 4, 9, 6, 7, 0, 5, 1, 7, 6, 9, 3, 0, 0, 4, 0, 1, 3, 4, 9, 3, 2, 7, 3, 8, 7, 3, 7, 4, 1, 4, 1, 4, 8, 5, 5, 9, 6, 4, 5, 4, 4, 0, 6, 6, 0, 0, 5, 5, 3, 8, 4, 9, 1, 4, 6, 8, 0, 5, 9, 6, 9, 5, 2, 3, 6, 4, 9, 0, 0, 0, 0, 6, 5, 6, 3, 9
(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) = (755667+461578*sqrt(2))/617^2 for n mod 3 = 0, b = A115135.
lim_{n -> infinity} b(n)/b(n-1) = (755667+461578*sqrt(2))/617^2 for n mod 3 = 1, b = A160176.
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FORMULA
| (755667+461578*sqrt(2))/617^2 = (1066+433*sqrt(2))/(1066-433*sqrt(2))
= (3+2*sqrt(2))*(25-2*sqrt(2))^2/(25+2*sqrt(2))^2.
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EXAMPLE
| (755667+461578*sqrt(2))/617^2 = 3.69970466100425404053...
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CROSSREFS
| Cf. A115135, A160176, A002193 (decimal expansion of sqrt(2)), A160177 (decimal expansion of (633+100*sqrt(2))/617).
Sequence in context: A057083 A000748 A198373 * A011383 A007844 A159785
Adjacent sequences: A160175 A160176 A160177 * A160179 A160180 A160181
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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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