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A041565 Denominators of continued fraction convergents to sqrt(300). 2
1, 3, 25, 78, 2677, 8109, 67549, 210756, 7233253, 21910515, 182517373, 569462634, 19544246929, 59202203421, 493161874297, 1538687826312, 52808547968905, 159964331733027, 1332523201833121, 4157533937232390, 142688677067734381, 432223565140435533 (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 (0,0,0,2702,0,0,0,-1).

FORMULA

G.f.: -(x^2-3*x-1)*(x^4+26*x^2+1) / ((x^4-52*x^2+1)*(x^4+52*x^2+1)). - Colin Barker, Nov 19 2013

a(n) = 2702*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[300], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

PROG

(MAGMA) I:=[1, 3, 25, 78, 2677, 8109, 67549, 210756]; [n le 8 select I[n] else 2702*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013

CROSSREFS

Cf. A041564, A040282.

Sequence in context: A129443 A083298 A083222 * A114378 A075306 A183761

Adjacent sequences:  A041562 A041563 A041564 * A041566 A041567 A041568

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 19 2013

STATUS

approved

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Last modified February 23 18:54 EST 2019. Contains 320438 sequences. (Running on oeis4.)