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 *)
(* Alternative: *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 2318344, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 35, 177, 212, 1237, 21241, 22478, 43719, 2295866, 2339585, 4635451, 81142252, 410346711, 491488963, 2867791526, 49243944905, 52111736431, 101355681336}, 30] (* Harvey P. Dale, Jul 17 2026 *)

Crossrefs

Cf. A042352, A040676.

Sequence in context: A276713 A257601 A282727 * A193576 A381146 A384726

Adjacent sequences: A042350 A042351 A042352 * A042354 A042355 A042356

Keyword

nonn,frac,easy,changed

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved