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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
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
Sequence in context: A273498 A003358 A303376 * A156651 A342608 A294179
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved

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Last modified February 22 10:44 EST 2024. Contains 370254 sequences. (Running on oeis4.)