login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042343 Denominators of continued fraction convergents to sqrt(698). 2
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 09:30 EDT 2022. Contains 353908 sequences. (Running on oeis4.)