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A042728 Numerators of continued fraction convergents to sqrt(894). 2
29, 30, 269, 299, 17611, 17910, 160891, 178801, 10531349, 10710150, 96212549, 106922699, 6297729091, 6404651790, 57534943411, 63939595201, 3766031465069, 3829971060270, 34405799947229, 38235771007499 (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, 598, 0, 0, 0, -1).

FORMULA

G.f.: (29 +30*x +269*x^2 +299*x^3 +269*x^4 -30*x^5 +29*x^6 -x^7)/(1 -598*x^4 +x^8). - Vincenzo Librandi, Dec 03 2013

a(n) = 598*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[894], 30]] (* or *) CoefficientList[Series[(29 + 30 x + 269 x^2 + 299 x^3 + 269 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 598 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 03 2013 *)

PROG

(MAGMA) I:=[29, 30, 269, 299, 17611, 17910, 160891, 178801]; [n le 8 select I[n] else 598*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 03 2013

CROSSREFS

Cf. A042729.

Sequence in context: A042722 A042724 A042726 * A042730 A042732 A042734

Adjacent sequences:  A042725 A042726 A042727 * A042729 A042730 A042731

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 23 05:58 EST 2019. Contains 320411 sequences. (Running on oeis4.)