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A159703
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Decimal expansion of (2487411+1629850*sqrt(2))/967^2.
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3
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5, 1, 2, 5, 0, 3, 8, 3, 3, 8, 2, 0, 5, 0, 1, 4, 6, 7, 2, 7, 0, 9, 6, 9, 1, 1, 2, 7, 9, 6, 0, 2, 0, 1, 0, 2, 1, 8, 8, 8, 5, 8, 9, 9, 6, 9, 5, 9, 9, 8, 1, 2, 2, 2, 8, 6, 4, 0, 2, 8, 0, 7, 3, 3, 6, 6, 7, 2, 7, 1, 5, 9, 6, 6, 3, 0, 3, 3, 6, 9, 5, 9, 6, 5, 8, 7, 1, 0, 6, 9, 2, 5, 9, 0, 6, 5, 8, 8, 7, 5, 5, 9, 5, 9, 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) = (2487411+1629850*sqrt(2))/967^2 for n mod 3 = 0, b = A130017.
lim_{n -> infinity} b(n)/b(n-1) = (2487411+1629850*sqrt(2))/967^2 for n mod 3 = 1, b = A159701.
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FORMULA
| (2487411+1629850*sqrt(2))/967^2 = (1850+881*sqrt(2))/(1850-881*sqrt(2))
= (3+2*sqrt(2))*(44-sqrt(2))^2/(44+sqrt(2))^2.
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EXAMPLE
| (2487411+1629850*sqrt(2))/967^2 = 5.12503833820501467270...
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CROSSREFS
| Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159702 (decimal expansion of (969+44*sqrt(2))/967).
Sequence in context: A085758 A154529 A157823 * A059521 A195407 A011509
Adjacent sequences: A159700 A159701 A159702 * A159704 A159705 A159706
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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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