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A041309 Denominators of continued fraction convergents to sqrt(167). 2
1, 1, 12, 13, 324, 337, 4031, 4368, 108863, 113231, 1354404, 1467635, 36577644, 38045279, 455075713, 493120992, 12289979521, 12783100513, 152904085164, 165687185677, 4129396541412, 4295083727089, 51375317539391, 55670401266480, 1387464947934911 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f.: -(x^2-x-1)*(x^4+13*x^2+1) / (x^8-336*x^4+1). - Colin Barker, Nov 15 2013
a(n) = 336*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 15 2013
MATHEMATICA
Denominator[Convergents[Sqrt[167], 30]] (* Vincenzo Librandi, Dec 15 2013 *)
LinearRecurrence[{0, 0, 0, 336, 0, 0, 0, -1}, {1, 1, 12, 13, 324, 337, 4031, 4368}, 30] (* Harvey P. Dale, Aug 16 2015 *)
PROG
(Magma) I:=[1, 1, 12, 13, 324, 337, 4031, 4368]; [n le 8 select I[n] else 336*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 15 2013
CROSSREFS
Sequence in context: A108771 A041308 A260387 * A041310 A275959 A066321
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 15 2013
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)