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A042730 Numerators of continued fraction convergents to sqrt(895). 2
29, 30, 329, 359, 21151, 21510, 236251, 257761, 15186389, 15444150, 169627889, 185072039, 10903806151, 11088878190, 121792588051, 132881466241, 7828917630029, 7961799096270, 87446908592729, 95408707688999, 5621151954554671, 5716560662243670, 62786758576991371 (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, 718, 0, 0, 0, -1).

FORMULA

G.f.: (29 +30*x +329*x^2 +359*x^3 +329*x^4 -30*x^5 +29*x^6 -x^7)/(1 -718*x^4 +x^8). - Vincenzo Librandi, Dec 03 2013

a(n) = 718*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[895], 30]] (* or *) CoefficientList[Series[(29 + 30 x + 329 x^2 + 359 x^3 + 329 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 718 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 03 2013 *)

PROG

(MAGMA) I:=[29, 30, 329, 359, 21151, 21510, 236251, 257761]; [n le 8 select I[n] else 718*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 03 2013

CROSSREFS

Cf. A042731.

Sequence in context: A042724 A042726 A042728 * A042732 A042734 A041419

Adjacent sequences:  A042727 A042728 A042729 * A042731 A042732 A042733

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 23 12:35 EST 2019. Contains 320431 sequences. (Running on oeis4.)