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A041571 Denominators of continued fraction convergents to sqrt(303). 2
1, 2, 5, 27, 59, 145, 4989, 10123, 25235, 136298, 297831, 731960, 25184471, 51100902, 127386275, 688032277, 1503450829, 3694933935, 127131204619, 257957343173, 643045890965, 3473186797998, 7589419486961, 18652025771920, 641758295732241, 1302168617236402 (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 (0,0,0,0,0,5048,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^4-2*x^3+5*x^2+2*x+1)*(x^6-29*x^3-1) / (x^12-5048*x^6+1). - Colin Barker, Nov 19 2013

a(n) = 5048*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[303], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

PROG

(MAGMA) I:=[1, 2, 5, 27, 59, 145, 4989, 10123, 25235, 136298, 297831, 731960]; [n le 12 select I[n] else 5048*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013

CROSSREFS

Cf. A041570, A040285.

Sequence in context: A138613 A299104 A090744 * A042259 A100105 A087130

Adjacent sequences:  A041568 A041569 A041570 * A041572 A041573 A041574

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 25 03:06 EST 2018. Contains 299630 sequences. (Running on oeis4.)