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A041614 Numerators of continued fraction convergents to sqrt(326). 2
18, 325, 11718, 211249, 7616682, 137311525, 4950831582, 89252280001, 3218032911618, 58013844689125, 2091716441720118, 37708909795651249, 1359612469085165082, 24510733353328622725, 883746013188915583182, 15931938970753809120001, 574433548960326043903218 (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 (0,650,0,-1).

FORMULA

G.f.: -(x^3-18*x^2-325*x-18)/(x^4-650*x^2+1). - Vincenzo Librandi, Nov 05 2013

a(n) = 650*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[326], 30]] (*or *) CoefficientList[Series[-(x^3 - 18 x^2 - 325 x - 18)/(x^4 - 650 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 05 2013 *)

LinearRecurrence[{0, 650, 0, -1}, {18, 325, 11718, 211249}, 30] (* Harvey P. Dale, Jan 01 2014 *)

PROG

(MAGMA) I:=[18, 325, 11718, 211249]; [n le 4 select I[n] else 650*Self(n-2)-Self(n-4): n in [1..20]]; // Vincenzo Librandi, Nov 05 2013

CROSSREFS

Cf. A041615.

Sequence in context: A285875 A223311 A041145 * A222812 A166787 A280806

Adjacent sequences:  A041611 A041612 A041613 * A041615 A041616 A041617

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified July 5 07:06 EDT 2020. Contains 335460 sequences. (Running on oeis4.)