A042320 Numerators of continued fraction convergents to sqrt(687).

26, 105, 131, 367, 498, 8335, 8833, 26001, 34834, 165337, 8632358, 34694769, 43327127, 121349023, 164676150, 2756167423, 2920843573, 8597854569, 11518698142, 54672647137, 2854496349266, 11472658044201, 14327154393467, 40126966831135, 54454121224602

Offset

0,1

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, 330674, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -26*x^18 +105*x^17 -131*x^16 +367*x^15 -498*x^14 +8335*x^13 -8833*x^12 +26001*x^11 -34834*x^10 -165337*x^9 -34834*x^8 -26001*x^7 -8833*x^6 -8335*x^5 -498*x^4 -367*x^3 -131*x^2 -105*x -26) / (x^20 -330674*x^10 +1). - Colin Barker, Dec 07 2013

Mathematica

Numerator[Convergents[Sqrt[687], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042321, A040660.

Sequence in context: A173089 A333055 A244633 * A042322 A042324 A044277

Adjacent sequences: A042317 A042318 A042319 * A042321 A042322 A042323

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 07 2013

Status

approved