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A159752
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Decimal expansion of (3267+1702*sqrt(2))/47^2.
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3
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2, 5, 6, 8, 5, 7, 9, 2, 1, 3, 7, 4, 3, 3, 2, 6, 2, 8, 9, 2, 9, 8, 5, 3, 9, 7, 0, 5, 1, 1, 7, 6, 5, 7, 8, 2, 2, 4, 1, 9, 9, 1, 0, 1, 5, 4, 7, 7, 2, 0, 9, 8, 5, 1, 5, 4, 1, 2, 7, 2, 4, 7, 2, 3, 4, 3, 1, 5, 1, 9, 5, 4, 6, 5, 5, 6, 1, 3, 6, 7, 9, 4, 9, 8, 5, 6, 7, 6, 5, 8, 8, 2, 4, 1, 5, 7, 8, 0, 7, 0, 0, 7, 4, 6, 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) = (3267+1702*sqrt(2))/47^2 for n mod 3 = 0, b = A118675.
lim_{n -> infinity} b(n)/b(n-1) = (3267+1702*sqrt(2))/47^2 for n mod 3 = 1, b = A159750.
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FORMULA
| (3267+1702*sqrt(2))/47^2 = (74+23*sqrt(2))/(74-23*sqrt(2))
= (3+2*sqrt(2))*(7-sqrt(2))^2/(7+sqrt(2))^2.
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EXAMPLE
| (3267+1702*sqrt(2))/47^2 = 2.56857921374332628929...
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CROSSREFS
| Cf. A118675, A159750, A002193 (decimal expansion of sqrt(2)), A159751 (decimal expansion of (51+14*sqrt(2))/47).
Sequence in context: A014489 A033959 A167455 * A126971 A175354 A090946
Adjacent sequences: A159749 A159750 A159751 * A159753 A159754 A159755
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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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