A042449 Denominators of continued fraction convergents to sqrt(752).

1, 2, 5, 7, 19, 26, 71, 168, 9143, 18454, 46051, 64505, 175061, 239566, 654193, 1547952, 84243601, 170035154, 424313909, 594349063, 1613012035, 2207361098, 6027734231, 14262829560, 776220530471, 1566703890502, 3909628311475, 5476332201977, 14862292715429

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,9214,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^14 -2*x^13 +5*x^12 -7*x^11 +19*x^10 -26*x^9 +71*x^8 -168*x^7 -71*x^6 -26*x^5 -19*x^4 -7*x^3 -5*x^2 -2*x -1) / ((x^8 -96*x^4 +1)*(x^8 +96*x^4 +1)). - Colin Barker, Dec 14 2013

Mathematica

Denominator[Convergents[Sqrt[752], 30]] (* Vincenzo Librandi, Jan 22 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 9214, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 5, 7, 19, 26, 71, 168, 9143, 18454, 46051, 64505, 175061, 239566, 654193, 1547952}, 30] (* Harvey P. Dale, Jun 19 2021 *)

Crossrefs

Cf. A042448, A040724.

Sequence in context: A042809 A002531 A108413 * A046115 A267481 A089443

Adjacent sequences: A042446 A042447 A042448 * A042450 A042451 A042452

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved