A042869 Denominators of continued fraction convergents to sqrt(966).

1, 12, 25, 62, 149, 1850, 114849, 1380038, 2874925, 7129888, 17134701, 212746300, 13207405301, 158701609912, 330610625125, 819922860162, 1970456345449, 24465399005550, 1518825194689549, 18250367735280138, 38019560665249825, 94289489065779788

Offset

0,2

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^10 - 12*x^9 + 25*x^8 - 62*x^7 + 149*x^6 - 1850*x^5 - 149*x^4 - 62*x^3 - 25*x^2 - 12*x - 1) / (x^12 - 114998*x^6 + 1). - Colin Barker, Dec 25 2013

Mathematica

Denominator[Convergents[Sqrt[966], 30]] (* Vincenzo Librandi, Jan 31 2014 *)

Crossrefs

Cf. A042868, A040934.

Sequence in context: A280391 A058848 A292493 * A041282 A195116 A041284

Adjacent sequences: A042866 A042867 A042868 * A042870 A042871 A042872

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved