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A042705 Denominators of continued fraction convergents to sqrt(882). 2
1, 1, 3, 10, 63, 199, 461, 660, 38741, 39401, 117543, 392030, 2469723, 7801199, 18072121, 25873320, 1518724681, 1544598001, 4607920683, 15368360050, 96818080983, 305822602999, 708463286981, 1014285889980, 59537044905821, 60551330795801 (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 (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^14 -x^13 +3*x^12 -10*x^11 +63*x^10 -199*x^9 +461*x^8 -660*x^7 -461*x^6 -199*x^5 -63*x^4 -10*x^3 -3*x^2 -x -1) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - Colin Barker, Dec 22 2013

a(n) = 39202*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[882], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

PROG

(MAGMA) I:=[1, 1, 3, 10, 63, 199, 461, 660, 38741, 39401, 117543, 392030, 2469723, 7801199, 18072121, 25873320]; [n le 16 select I[n] else 39202*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

CROSSREFS

Cf. A042704, A040852.

Sequence in context: A260969 A305853 A160921 * A041014 A237998 A167939

Adjacent sequences:  A042702 A042703 A042704 * A042706 A042707 A042708

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 22 2013

STATUS

approved

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Last modified February 16 12:48 EST 2019. Contains 320163 sequences. (Running on oeis4.)