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A042922 Numerators of continued fraction convergents to sqrt(993). 2
31, 32, 63, 1292, 1355, 2647, 165469, 168116, 333585, 6839816, 7173401, 14013217, 875992855, 890006072, 1765998927, 36209984612, 37975983539, 74185968151, 4637506008901, 4711691977052, 9349197985953, 191695651696112, 201044849682065, 392740501378177 (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, 0, 0, 5294, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -31*x^10 +32*x^9 -63*x^8 +1292*x^7 -1355*x^6 -2647*x^5 -1355*x^4 -1292*x^3 -63*x^2 -32*x -31) / (x^12 -5294*x^6 +1). - Colin Barker, Dec 25 2013

MATHEMATICA

Numerator[Convergents[Sqrt[993], 30]]  (* Vincenzo Librandi, Dec 09 2013 *)

CROSSREFS

Cf. A042923, A040961.

Sequence in context: A042928 A042926 A042924 * A171235 A248815 A280647

Adjacent sequences:  A042919 A042920 A042921 * A042923 A042924 A042925

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified April 22 11:46 EDT 2019. Contains 322330 sequences. (Running on oeis4.)