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A042320 Numerators of continued fraction convergents to sqrt(687). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 5 20:00 EDT 2022. Contains 357261 sequences. (Running on oeis4.)