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A041558
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Numerators of continued fraction convergents to sqrt(297).
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2
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17, 69, 224, 293, 517, 1327, 1844, 3171, 11357, 48599, 1663723, 6703491, 21774196, 28477687, 50251883, 128981453, 179233336, 308214789, 1103877703, 4723725601, 161710548137, 651565918149, 2116408302584, 2767974220733, 4884382523317, 12536739267367
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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 (0,0,0,0,0,0,0,0,0,97198,0,0,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^19 -17*x^18 +69*x^17 -224*x^16 +293*x^15 -517*x^14 +1327*x^13 -1844*x^12 +3171*x^11 -11357*x^10 -48599*x^9 -11357*x^8 -3171*x^7 -1844*x^6 -1327*x^5 -517*x^4 -293*x^3 -224*x^2 -69*x -17) / (x^20 -97198*x^10 +1). - Colin Barker, Nov 10 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[297], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 97198, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {17, 69, 224, 293, 517, 1327, 1844, 3171, 11357, 48599, 1663723, 6703491, 21774196, 28477687, 50251883, 128981453, 179233336, 308214789, 1103877703, 4723725601}, 40] (* Harvey P. Dale, Jan 01 2014 *)
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CROSSREFS
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Cf. A041559.
Sequence in context: A244630 A248894 A041556 * A327495 A183943 A180532
Adjacent sequences: A041555 A041556 A041557 * A041559 A041560 A041561
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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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EXTENSIONS
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More terms from Colin Barker, Nov 10 2013
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STATUS
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approved
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