A042725 Denominators of continued fraction convergents to sqrt(892).

1, 1, 7, 15, 217, 449, 2911, 3360, 197791, 201151, 1404697, 3010545, 43552327, 90115199, 584243521, 674358720, 39697049281, 40371408001, 281925497287, 604222402575, 8741039133337, 18086300669249, 117258843148831, 135345143818080, 7967277184597471

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, 200702, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +7*x^12 -15*x^11 +217*x^10 -449*x^9 +2911*x^8 -3360*x^7 -2911*x^6 -449*x^5 -217*x^4 -15*x^3 -7*x^2 -x -1) / ((x^8 -448*x^4 +1)*(x^8 +448*x^4 +1)). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[892], 30]] (* Vincenzo Librandi, Jan 27 2014 *)

Crossrefs

Cf. A042724, A040862.

Sequence in context: A068366 A156499 A137881 * A041096 A248275 A007541

Adjacent sequences: A042722 A042723 A042724 * A042726 A042727 A042728

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved