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A159550
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Decimal expansion of (91443+58282*sqrt(2))/199^2.
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3
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4, 3, 9, 0, 4, 4, 9, 6, 0, 5, 8, 7, 4, 3, 1, 4, 4, 2, 7, 2, 6, 8, 5, 0, 3, 8, 8, 1, 8, 3, 1, 0, 0, 4, 8, 5, 8, 8, 4, 6, 9, 3, 8, 6, 1, 8, 7, 3, 9, 9, 1, 2, 8, 2, 0, 4, 0, 5, 6, 2, 7, 3, 4, 5, 0, 0, 5, 8, 2, 9, 9, 1, 1, 1, 0, 6, 5, 0, 0, 4, 0, 2, 4, 7, 1, 6, 1, 1, 4, 8, 1, 4, 1, 9, 2, 4, 7, 1, 4, 3, 8, 1, 3, 0, 8
(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) = (91443+58282*sqrt(2))/199^2 for n mod 3 = 0, b = A129993.
lim_{n -> infinity} b(n)/b(n-1) = (91443+58282*sqrt(2))/199^2 for n mod 3 = 1, b = A159548.
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FORMULA
| (91443+58282*sqrt(2))/199^2 = (362+161*sqrt(2))/(362-161*sqrt(2))
= (3+2*sqrt(2))*(20-sqrt(2))^2/(20+sqrt(2))^2.
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EXAMPLE
| (91443+58282*sqrt(2))/199^2 = 4.39044960587431442726...
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CROSSREFS
| Cf. A129993, A159548, A002193 (decimal expansion of sqrt(2)), A159549 (decimal expansion of (201+20*sqrt(2))/199).
Sequence in context: A137503 A108624 A108623 * A155536 A095303 A074123
Adjacent sequences: A159547 A159548 A159549 * A159551 A159552 A159553
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 14 2009
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