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A042339 Denominators of continued fraction convergents to sqrt(696). 2
1, 2, 3, 5, 8, 13, 21, 55, 2881, 5817, 8698, 14515, 23213, 37728, 60941, 159610, 8360661, 16880932, 25241593, 42122525, 67364118, 109486643, 176850761, 463188165, 24262635341, 48988458847, 73251094188, 122239553035, 195490647223, 317730200258 (list; graph; refs; listen; history; text; internal format)
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, 2902, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -2*x^13 +3*x^12 -5*x^11 +8*x^10 -13*x^9 +21*x^8 -55*x^7 -21*x^6 -13*x^5 -8*x^4 -5*x^3 -3*x^2 -2*x -1) / (x^16 -2902*x^8 +1). - Colin Barker, Dec 08 2013

MATHEMATICA

Denominator[Convergents[Sqrt[696], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

CROSSREFS

Cf. A042338, A040668.

Sequence in context: A014260 A177246 A067517 * A137574 A041247 A117770

Adjacent sequences:  A042336 A042337 A042338 * A042340 A042341 A042342

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 08 2013

STATUS

approved

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Last modified January 23 07:09 EST 2022. Contains 350506 sequences. (Running on oeis4.)