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A159692
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Decimal expansion of (2052963+1343918*sqrt(2))/881^2.
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3
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5, 0, 9, 3, 7, 2, 4, 1, 9, 1, 6, 5, 2, 6, 6, 6, 3, 3, 0, 5, 6, 2, 1, 7, 4, 4, 8, 0, 3, 7, 5, 1, 3, 9, 9, 8, 0, 4, 3, 6, 0, 1, 3, 0, 0, 1, 7, 0, 0, 4, 6, 8, 4, 6, 0, 2, 9, 0, 3, 9, 9, 9, 0, 4, 2, 9, 9, 5, 3, 2, 1, 9, 8, 8, 4, 7, 7, 1, 0, 6, 7, 7, 8, 5, 9, 0, 2, 0, 3, 7, 6, 3, 8, 9, 0, 9, 3, 7, 6, 6, 8, 1, 7, 5, 7
(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) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 0, b = A130014.
lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 1, b = A159690.
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FORMULA
| (2052963+1343918*sqrt(2))/881^2 = (1682+799*sqrt(2))/(1682-799*sqrt(2))
= (3+2*sqrt(2))*(42-sqrt(2))^2/(42+sqrt(2))^2.
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EXAMPLE
| (2052963+1343918*sqrt(2))/881^2 = 5.09372419165266633056...
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CROSSREFS
| Cf. A130014, A159690, A002193 (decimal expansion of sqrt(2)), A159691 (decimal expansion of (883+42*sqrt(2))/881).
Sequence in context: A166011 A132706 A199184 * A196769 A019925 A101115
Adjacent sequences: A159689 A159690 A159691 * A159693 A159694 A159695
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 21 2009
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