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A041038
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Numerators of continued fraction convergents to sqrt(24).
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5
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4, 5, 44, 49, 436, 485, 4316, 4801, 42724, 47525, 422924, 470449, 4186516, 4656965, 41442236, 46099201, 410235844, 456335045, 4060916204, 4517251249, 40198926196, 44716177445, 397928345756
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a(2n) = 2*A041006(2n) ; a(2n-1) = A041006(2n-1) = A001079(n). [From M. F. Hasler (www.univ-ag.fr/~mhasler), Feb 13 2009]
G.f.: (4+5*x+4*x^2-x^3)/(1-10*x^2+x^4)
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MATHEMATICA
| Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[24], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
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CROSSREFS
| Cf. A041039.
Sequence in context: A189744 A123304 A041037 * A151486 A042383 A135799
Adjacent sequences: A041035 A041036 A041037 * A041039 A041040 A041041
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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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