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A160585
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Decimal expansion of (520659+314170*sqrt(2))/521^2.
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3
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3, 5, 5, 4, 9, 6, 2, 1, 2, 7, 6, 4, 7, 4, 6, 3, 9, 8, 4, 7, 4, 0, 7, 9, 6, 5, 1, 3, 7, 3, 5, 8, 0, 5, 7, 3, 8, 0, 5, 8, 1, 1, 8, 7, 5, 5, 4, 0, 9, 7, 4, 1, 9, 9, 2, 3, 6, 6, 3, 6, 1, 2, 8, 3, 9, 7, 9, 0, 1, 7, 2, 5, 5, 1, 6, 2, 0, 4, 3, 2, 0, 0, 5, 3, 2, 0, 7, 2, 3, 5, 3, 3, 2, 8, 0, 3, 5, 0, 1, 6, 4, 7, 1, 9, 3
(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) = (520659+314170*sqrt(2))/521^2 for n mod 3 = 0, b = A129725.
lim_{n -> infinity} b(n)/b(n-1) = (520659+314170*sqrt(2))/521^2 for n mod 3 = 1, b = A160583.
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FORMULA
| (520659+314170*sqrt(2))/521^2 = (890+353*sqrt(2))/(890-353*sqrt(2))
= (3+2*sqrt(2))*(23-2*sqrt(2))^2/(23+2*sqrt(2))^2.
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EXAMPLE
| (520659+314170*sqrt(2))/521^2 = 3.55496212764746398474...
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MATHEMATICA
| RealDigits[(520659+314170Sqrt[2])/521^2, 10, 120][[1]] (* From Harvey P. Dale, Aug 23 2011 *)
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CROSSREFS
| Cf. A129725, A160583, A002193 (decimal expansion of sqrt(2)), A160584 (decimal expansion of (537+92*sqrt(2))/521).
Sequence in context: A189202 A153098 A119280 * A016658 A196604 A131506
Adjacent sequences: A160582 A160583 A160584 * A160586 A160587 A160588
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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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