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

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