login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042131 Denominators of continued fraction convergents to sqrt(590). 2
1, 3, 7, 31, 69, 238, 11493, 34717, 80927, 358425, 797777, 2751756, 132882065, 401397951, 935677967, 4144109819, 9223897605, 31815802634, 1536382424037, 4640963074745, 10818308573527, 47914197368853, 106646703311233, 367854307302552, 17763653453833729 (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 (0,0,0,0,0,11562,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^10-3*x^9+7*x^8-31*x^7+69*x^6-238*x^5-69*x^4-31*x^3-7*x^2-3*x-1) / (x^12-11562*x^6+1). - Colin Barker, Dec 02 2013

a(n) = 11562*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[590], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

CROSSREFS

Cf. A042130, A040565.

Sequence in context: A080168 A183075 A292890 * A109140 A088193 A091383

Adjacent sequences:  A042128 A042129 A042130 * A042132 A042133 A042134

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 21:54 EDT 2021. Contains 348095 sequences. (Running on oeis4.)