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A042734 Numerators of continued fraction convergents to sqrt(897). 2
29, 30, 569, 599, 35311, 35910, 681691, 717601, 42302549, 43020150, 816665249, 859685399, 50678418391, 51538103790, 978364286611, 1029902390401, 60712702929869, 61742605320270, 1172079598694729, 1233822204014999, 72733767431564671, 73967589635579670 (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, 1198, 0, 0, 0, -1).

FORMULA

G.f.: (29 +30*x +569*x^2 +599*x^3 +569*x^4 -30*x^5 +29* x^6 -x^7)/(1-1198*x^4+x^8). - Vincenzo Librandi, Dec 03 2013

a(n) = 1198*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[897], 30]] (* or *) CoefficientList[Series[(29 + 30 x + 569 x^2 + 599 x^3 + 569 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 1198 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 03 2013 *)

PROG

(MAGMA) I:=[29, 30, 569, 599, 35311, 35910, 681691, 717601]; [n le 8 select I[n] else 1198*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 03 2013

CROSSREFS

Cf. A042735.

Sequence in context: A042728 A042730 A042732 * A041419 A042736 A042737

Adjacent sequences:  A042731 A042732 A042733 * A042735 A042736 A042737

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Dec 03 2013

STATUS

approved

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Last modified February 16 21:59 EST 2019. Contains 320200 sequences. (Running on oeis4.)