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A159891
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Decimal expansion of (443+42*sqrt(2))/439.
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3
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1, 1, 4, 4, 4, 1, 2, 2, 3, 1, 4, 7, 9, 8, 8, 6, 0, 8, 6, 6, 7, 3, 5, 1, 0, 0, 8, 2, 9, 5, 4, 0, 0, 3, 0, 0, 5, 2, 3, 9, 0, 1, 1, 8, 8, 7, 8, 4, 9, 2, 7, 5, 2, 1, 4, 2, 9, 0, 2, 5, 1, 8, 2, 0, 0, 3, 5, 5, 5, 9, 8, 2, 7, 0, 9, 6, 6, 0, 2, 4, 9, 5, 7, 4, 4, 2, 2, 8, 4, 2, 0, 1, 4, 0, 6, 8, 5, 5, 2, 6, 3, 2, 0, 8, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (443+42*sqrt(2))/439 for n mod 3 = {1, 2}, b = A130645.
lim_{n -> infinity} b(n)/b(n-1) = (443+42*sqrt(2))/439 for n mod 3 = {0, 2}, b = A159890.
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FORMULA
| (443+42*sqrt(2))/439 = (21+sqrt(2))/(21-sqrt(2)).
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EXAMPLE
| (443+42*sqrt(2))/439 = 1.14441223147988608667...
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MATHEMATICA
| RealDigits[N[(443+42*Sqrt[2])/439, 300]][[1]] (*From Vladimir Joseph Stephan Orlovsky, Mar 21 2011*)
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CROSSREFS
| Cf. A130645, A159890, A002193 (decimal expansion of sqrt(2)), A159892 (decimal expansion of (450483+287918*sqrt(2))/439^2).
Sequence in context: A172985 A117683 A172088 * A201941 A180060 A109610
Adjacent sequences: A159888 A159889 A159890 * A159892 A159893 A159894
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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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