A042348 - OEIS

A042348

Numerators of continued fraction convergents to sqrt(701).

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

0,1

LINKS

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).

FORMULA

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

MATHEMATICA

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 *)

CROSSREFS

Cf. A042349, A040674.

Sequence in context: A042340 A042344 A042346 * A042350 A255027 A132767

Adjacent sequences: A042345 A042346 A042347 * A042349 A042350 A042351

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 09 2013

STATUS

approved