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!)
A041795 Denominators of continued fraction convergents to sqrt(418). 2
1, 2, 9, 182, 737, 1656, 66977, 135610, 609417, 12323950, 49905217, 112134384, 4535280577, 9182695538, 41266062729, 834503950118, 3379281863201, 7593067676520, 307101988924001, 621797045524522, 2794290171022089, 56507600465966302 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 67714, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^10 -2*x^9 +9*x^8 -182*x^7 +737*x^6 -1656*x^5 -737*x^4 -182*x^3 -9*x^2 -2*x-1) / (x^12-67714*x^6+1). - Colin Barker, Nov 24 2013
a(n) = 67714*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 24 2013
MATHEMATICA
Denominator[Convergents[Sqrt[418], 30]] (* Vincenzo Librandi, Dec 24 2013 *)
PROG
(Magma) I:=[1, 2, 9, 182, 737, 1656, 66977, 135610, 609417, 12323950, 49905217, 112134384]; [n le 12 select I[n] else 67714*Self(n-6)-Self(n-12): n in [1..50]]; // Vincenzo Librandi, Dec 24 2013
CROSSREFS
Sequence in context: A199695 A349691 A078524 * A123625 A216692 A367901
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 24 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 March 29 08:45 EDT 2024. Contains 371267 sequences. (Running on oeis4.)