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A041627 Denominators of continued fraction convergents to sqrt(332). 2
1, 4, 5, 9, 77, 86, 163, 738, 26731, 107662, 134393, 242055, 2070833, 2312888, 4383721, 19847772, 718903513, 2895461824, 3614365337, 6509827161, 55692982625, 62202809786, 117895792411, 533785979430, 19334191051891, 77870550186994, 97204741238885 (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, 0, 0, 0, 0, 0, 0, 26894, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -4*x^13 +5*x^12 -9*x^11 +77*x^10 -86*x^9 +163*x^8 -738*x^7 -163*x^6 -86*x^5 -77*x^4 -9*x^3 -5*x^2 -4*x -1) / ((x^8 -164*x^4 +1)*(x^8 +164*x^4 +1)). - Colin Barker, Nov 20 2013

a(n) = 26894*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[332], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

PROG

(MAGMA) I:=[1, 4, 5, 9, 77, 86, 163, 738, 26731, 107662, 134393, 242055, 2070833, 2312888, 4383721, 19847772]; [n le 16 select I[n] else 26894*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

CROSSREFS

Cf. A041626, A040313.

Sequence in context: A041467 A180436 A121919 * A132811 A042179 A042427

Adjacent sequences:  A041624 A041625 A041626 * A041628 A041629 A041630

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 20 2013

STATUS

approved

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Last modified October 20 21:32 EDT 2020. Contains 337910 sequences. (Running on oeis4.)