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A042716 Numerators of continued fraction convergents to sqrt(888). 2
29, 30, 119, 149, 8761, 8910, 35491, 44401, 2610749, 2655150, 10576199, 13231349, 777994441, 791225790, 3151671811, 3942897601, 231839732669, 235782630270, 939187623479, 1174970253749, 69087462340921 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 298, 0, 0, 0, -1).

FORMULA

G.f.: (29 +30*x +119*x^2 +149*x^3 +119*x^4 -30*x^5 +29*x^6 -x^7)/(1 -298*x^4 +x^8). - Vincenzo Librandi, Dec 02 2013

a(n) = 298*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 02 2013

MATHEMATICA

Numerator[Convergents[Sqrt[888], 30]] (* or *) CoefficientList[Series[(29 + 30 x + 119 x^2 + 149 x^3 + 119 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 298 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 02 2013 *)

PROG

(MAGMA) I:=[29, 30, 119, 149, 8761, 8910, 35491, 44401]; [n le 8 select I[n] else 298*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 02 2013

CROSSREFS

Cf. A042717.

Sequence in context: A042704 A042702 A042714 * A042712 A042720 A042718

Adjacent sequences:  A042713 A042714 A042715 * A042717 A042718 A042719

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 24 12:14 EDT 2019. Contains 321448 sequences. (Running on oeis4.)