A042922 Numerators of continued fraction convergents to sqrt(993).

31, 32, 63, 1292, 1355, 2647, 165469, 168116, 333585, 6839816, 7173401, 14013217, 875992855, 890006072, 1765998927, 36209984612, 37975983539, 74185968151, 4637506008901, 4711691977052, 9349197985953, 191695651696112, 201044849682065, 392740501378177

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