A042349 Denominators of continued fraction convergents to sqrt(701).

1, 2, 21, 212, 445, 23352, 47149, 494842, 4995569, 10485980, 550266529, 1111019038, 11660456909, 117715588128, 247091633165, 12966480512708, 26180052658581, 274767007098518, 2773850123643761, 5822467254386040, 305542147351717841

Offset

0,2

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^8-2*x^7+21*x^6-212*x^5+445*x^4+212*x^3+21*x^2+2*x+1) / (x^10+23564*x^5-1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[701], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042348, A040674.

Sequence in context: A328073 A329318 A037559 * A037495 A024763 A304272

Adjacent sequences: A042346 A042347 A042348 * A042350 A042351 A042352

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved