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A041622 Numerators of continued fraction convergents to sqrt(330). 2
18, 109, 3942, 23761, 859338, 5179789, 187331742, 1129170241, 40837460418, 246153932749, 8902379039382, 53660428169041, 1940677793124858, 11697727186918189, 423058856522179662, 2550050866319996161, 92224890044042041458, 555899391130572244909 (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 (0,218,0,-1).

FORMULA

G.f.: -(x^3-18*x^2-109*x-18) / (x^4-218*x^2+1). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[330], 30]] (* Harvey P. Dale, Aug 22 2012 *)

CROSSREFS

Cf. A041623.

Sequence in context: A356420 A289393 A213562 * A160765 A192511 A324623

Adjacent sequences: A041619 A041620 A041621 * A041623 A041624 A041625

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 December 3 01:25 EST 2022. Contains 358510 sequences. (Running on oeis4.)