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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

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 336, 0, 0, 0, -1).

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

Cf. A041308, A010215.

Sequence in context: A108771 A041308 A260387 * A041310 A275959 A066321

Adjacent sequences:  A041306 A041307 A041308 * A041310 A041311 A041312

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 15 2013

STATUS

approved

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Last modified March 3 14:58 EST 2021. Contains 341762 sequences. (Running on oeis4.)