A042353 Denominators of continued fraction convergents to sqrt(703).

1, 1, 2, 35, 177, 212, 1237, 21241, 22478, 43719, 2295866, 2339585, 4635451, 81142252, 410346711, 491488963, 2867791526, 49243944905, 52111736431, 101355681336, 5322607165903, 5423962847239, 10746570013142, 188115653070653, 951324835366407, 1139440488437060

Offset

0,3

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, 0, 0, 0, 0, 0, 2318344, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +2*x^16 -35*x^15 +177*x^14 -212*x^13 +1237*x^12 -21241*x^11 +22478*x^10 -43719*x^9 -22478*x^8 -21241*x^7 -1237*x^6 -212*x^5 -177*x^4 -35*x^3 -2*x^2 -x -1) / (x^20 -2318344*x^10 +1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[703], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042352, A040676.

Sequence in context: A276713 A257601 A282727 * A193576 A297538 A089660

Adjacent sequences: A042350 A042351 A042352 * A042354 A042355 A042356

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved