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A159892
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Decimal expansion of (450483+287918*sqrt(2))/439^2.
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3
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4, 4, 5, 0, 2, 7, 0, 2, 8, 9, 4, 4, 0, 8, 8, 4, 9, 0, 7, 5, 1, 3, 3, 7, 2, 2, 5, 3, 6, 5, 6, 8, 8, 1, 4, 5, 7, 5, 7, 6, 6, 1, 4, 8, 3, 1, 8, 8, 0, 1, 7, 9, 8, 2, 1, 2, 5, 9, 1, 4, 2, 8, 8, 9, 4, 7, 6, 5, 7, 8, 6, 4, 8, 5, 8, 4, 4, 9, 7, 4, 5, 7, 0, 0, 6, 3, 7, 6, 4, 6, 1, 8, 7, 2, 5, 8, 2, 1, 5, 9, 3, 8, 4, 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) = (450483+287918*sqrt(2))/439^2 for n mod 3 = 0, b = A130645.
lim_{n -> infinity} b(n)/b(n-1) = (450483+287918*sqrt(2))/439^2 for n mod 3 = 1, b = A159890.
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FORMULA
| (450483+287918*sqrt(2))/439^2 = (802+359*sqrt(2))/(802-359*sqrt(2))
= (3+2*sqrt(2))*(21-sqrt(2))^2/(21+sqrt(2))^2.
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EXAMPLE
| (450483+287918*sqrt(2))/439^2 = 4.45027028944088490751...
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MATHEMATICA
| RealDigits[N[(450483+287918*Sqrt[2])/439^2, 300]][[1]] (*From Vladimir Joseph Stephan Orlovsky, Mar 21 2011*)
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CROSSREFS
| Cf. A130645, A159890, A002193 (decimal expansion of sqrt(2)), A159891 (decimal expansion of (443+42*sqrt(2))/439).
Sequence in context: A077725 A111481 A111763 * A200694 A021696 A006581
Adjacent sequences: A159889 A159890 A159891 * A159893 A159894 A159895
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 30 2009
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