A042355 Denominators of continued fraction convergents to sqrt(704).

1, 1, 2, 15, 197, 1394, 1591, 2985, 156811, 159796, 316607, 2376045, 31205192, 220812389, 252017581, 472829970, 24839176021, 25312005991, 50151182012, 376370280075, 4942964822987, 34977124040984, 39920088863971, 74897212904955, 3934575159921631

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,158402,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^14 -x^13 +2*x^12 -15*x^11 +197*x^10 -1394*x^9 +1591*x^8 -2985*x^7 -1591*x^6 -1394*x^5 -197*x^4 -15*x^3 -2*x^2 -x -1) / ((x^4 -6*x^3 +18*x^2 +6*x +1)*(x^4 -20*x^2 +1)*(x^4 +20*x^2 +1)*(x^4 +6*x^3 +18*x^2 -6*x +1)). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[704], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042354, A040677.

Sequence in context: A198522 A187655 A046249 * A208467 A221102 A351920

Adjacent sequences: A042352 A042353 A042354 * A042356 A042357 A042358

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved