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A041343 Denominators of continued fraction convergents to sqrt(185). 2
1, 1, 2, 3, 5, 133, 138, 271, 409, 680, 18089, 18769, 36858, 55627, 92485, 2460237, 2552722, 5012959, 7565681, 12578640, 334610321, 347188961, 681799282, 1028988243, 1710787525, 45509463893, 47220251418, 92729715311, 139949966729, 232679682040 (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 (0,0,0,0,136,0,0,0,0,1).

FORMULA

G.f.: -(x^4-3*x^3+4*x^2-2*x+1)*(x^4+2*x^3+4*x^2+3*x+1) / (x^10+136*x^5-1). - Colin Barker, Nov 15 2013

a(n) = 136*a(n-5) + a(n-10). - Vincenzo Librandi, Dec 16 2013

MATHEMATICA

Denominator[Convergents[Sqrt[185], 30]] (* Vincenzo Librandi, Dec 16 2013 *)

LinearRecurrence[{0, 0, 0, 0, 136, 0, 0, 0, 0, 1}, {1, 1, 2, 3, 5, 133, 138, 271, 409, 680}, 30] (* Harvey P. Dale, Aug 15 2016 *)

PROG

(MAGMA) I:=[1, 1, 2, 3, 5, 133, 138, 271, 409, 680]; [n le 10 select I[n] else 136*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 16 2013

CROSSREFS

Cf. A041342, A010227.

Sequence in context: A230372 A234900 A117702 * A229349 A160600 A325505

Adjacent sequences:  A041340 A041341 A041342 * A041344 A041345 A041346

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 October 17 06:08 EDT 2019. Contains 328106 sequences. (Running on oeis4.)