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A041020
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Numerators of continued fraction convergents to sqrt(14).
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3
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3, 4, 11, 15, 101, 116, 333, 449, 3027, 3476, 9979, 13455, 90709, 104164, 299037, 403201, 2718243, 3121444, 8961131, 12082575, 81456581, 93539156, 268534893, 362074049, 2440979187, 2803053236, 8047085659
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,30,0,0,0,-1).
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FORMULA
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G.f.: (3+4*x+11*x^2+15*x^3+11*x^4-4*x^5+3*x^6-x^7)/(1-30*x^4+x^8). [Colin Barker, Jan 03 2012]
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MATHEMATICA
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Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[14], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 17 2011*)
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CROSSREFS
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Cf. A010471, A041021.
Sequence in context: A042327 A046114 A116654 * A041527 A290493 A266384
Adjacent sequences: A041017 A041018 A041019 * A041021 A041022 A041023
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KEYWORD
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nonn,cofr,frac,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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