A042868 Numerators of continued fraction convergents to sqrt(966).

31, 373, 777, 1927, 4631, 57499, 3569569, 42892327, 89354223, 221600773, 532555769, 6612270001, 410493295831, 4932531819973, 10275556935777, 25483645691527, 61242848318831, 760397825517499, 47205908030403769, 567231294190362727, 1181668496411129223

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,114998,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 - 31*x^10 + 373*x^9 - 777*x^8 + 1927*x^7 - 4631*x^6 - 57499*x^5 - 4631*x^4 - 1927*x^3 - 777*x^2 - 373*x - 31) / (x^12 - 114998*x^6 + 1). - Colin Barker, Dec 25 2013

Mathematica

Numerator[Convergents[Sqrt[966], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042869, A040934.

Sequence in context: A161347 A107941 A142684 * A258944 A047689 A108268

Adjacent sequences: A042865 A042866 A042867 * A042869 A042870 A042871

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved