A042343 Denominators of continued fraction convergents to sqrt(698).

1, 2, 5, 7, 12, 19, 31, 81, 193, 10117, 20427, 50971, 71398, 122369, 193767, 316136, 826039, 1968214, 103173167, 208314548, 519802263, 728116811, 1247919074, 1976035885, 3223954959, 8423945803, 20071846565, 1052159967183, 2124391780931, 5300943529045

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, 0, 0, 0, 10198, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^16 -2*x^15 +5*x^14 -7*x^13 +12*x^12 -19*x^11 +31*x^10 -81*x^9 +193*x^8 +81*x^7 +31*x^6 +19*x^5 +12*x^4 +7*x^3 +5*x^2 +2*x +1) / (x^18 +10198*x^9 -1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[698], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042342, A040671.

Sequence in context: A350497 A117538 A001060 * A042691 A112732 A331529

Adjacent sequences: A042340 A042341 A042342 * A042344 A042345 A042346

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved