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A041541 Denominators of continued fraction convergents to sqrt(287). 2
1, 1, 16, 17, 560, 577, 9215, 9792, 322559, 332351, 5307824, 5640175, 185793424, 191433599, 3057297409, 3248731008, 107016689665, 110265420673, 1760997999760, 1871263420433, 61641427453616, 63512690874049, 1014331790564351, 1077844481438400 (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 (0,0,0,576,0,0,0,-1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+17*x^2+1) / (x^8-576*x^4+1). - Colin Barker, Nov 18 2013

a(n) = 576*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 19 2013

MATHEMATICA

Denominator[Convergents[Sqrt[287], 25]] (* Harvey P. Dale, Aug 15 2011 *)

CoefficientList[Series[(1 + x - x^2) (x^4 + 17 x^2 + 1)/(x^8 - 576 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 19 2013 *)

PROG

(MAGMA) I:=[1, 1, 16, 17, 560, 577, 9215, 9792]; [n le 8 select I[n] else 576*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 19 2013

CROSSREFS

Cf. A041540, A040270.

Sequence in context: A041538 A033052 A041540 * A041542 A030046 A002925

Adjacent sequences:  A041538 A041539 A041540 * A041542 A041543 A041544

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified October 20 07:17 EDT 2018. Contains 316378 sequences. (Running on oeis4.)