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A042348
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Numerators of continued fraction convergents to sqrt(701).
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2
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26, 53, 556, 5613, 11782, 618277, 1248336, 13101637, 132264706, 277631049, 14569079254, 29415789557, 308726974824, 3116685537797, 6542098050418, 343305784159533, 693153666369484, 7274842447854373, 73441578144913214, 154157998737680801, 8089657512504314866
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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, 23564, 0, 0, 0, 0, 1).
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FORMULA
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G.f.: -(x^9 -26*x^8 +53*x^7 -556*x^6 +5613*x^5 +11782*x^4 +5613*x^3 +556*x^2 +53*x +26) / (x^10 +23564*x^5 -1). - Colin Barker, Dec 09 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[701], 30]] (* Vincenzo Librandi, Nov 21 2013 *)
LinearRecurrence[{0, 0, 0, 0, 23564, 0, 0, 0, 0, 1}, {26, 53, 556, 5613, 11782, 618277, 1248336, 13101637, 132264706, 277631049}, 30] (* Harvey P. Dale, Oct 05 2016 *)
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CROSSREFS
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Cf. A042349, A040674.
Sequence in context: A042340 A042344 A042346 * A042350 A255027 A132767
Adjacent sequences: A042345 A042346 A042347 * A042349 A042350 A042351
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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, Dec 09 2013
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STATUS
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approved
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