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A041009
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Denominators of continued fraction convergents to sqrt(7).
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1
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1, 1, 2, 3, 14, 17, 31, 48, 223, 271, 494, 765, 3554, 4319, 7873, 12192, 56641, 68833, 125474, 194307, 902702, 1097009, 1999711, 3096720, 14386591, 17483311, 31869902, 49353213, 229282754, 278635967
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Sqrt(7) = 2 + 9/14 + 9/(14*223) + 9/(223*3554) + 9/(3554*56641)...; sum of these 5 terms = 2.64575131088, with sqrt(7) = 2.64575131106... The terms 14, 223, 3554,...= a(4), a(8), a(12),... - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 27 2007
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MATHEMATICA
| Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[7], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 16 2011*)
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CROSSREFS
| Cf. A041008.
Sequence in context: A119616 A056435 A032806 * A042367 A100341 A041869
Adjacent sequences: A041006 A041007 A041008 * A041010 A041011 A041012
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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