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A041511 Denominators of continued fraction convergents to sqrt(272). 2
1, 2, 65, 132, 4289, 8710, 283009, 574728, 18674305, 37923338, 1232221121, 2502365580, 81307919681, 165118204942, 5365090477825, 10895299160592, 354014663616769, 718924626394130, 23359602708228929, 47438130042851988, 1541379764079492545, 3130197658201837078 (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 (0,66,0,-1).

FORMULA

G.f.: -(x^2-2*x-1) / ((x^2-8*x-1)*(x^2+8*x-1)). - Colin Barker, Nov 18 2013

a(n) = 66*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 19 2013

MATHEMATICA

Denominator[Convergents[Sqrt[272], 30]] (* Vincenzo Librandi, Dec 19 2013 *)

PROG

(MAGMA) I:=[1, 2, 65, 132]; [n le 4 select I[n] else 66*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 19 2013

CROSSREFS

Cf. A041510, A040255.

Sequence in context: A273498 A003358 A303376 * A156651 A294179 A002604

Adjacent sequences:  A041508 A041509 A041510 * A041512 A041513 A041514

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified August 20 09:13 EDT 2018. Contains 313914 sequences. (Running on oeis4.)