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!)
A042160 Numerators of continued fraction convergents to sqrt(605). 2
24, 25, 49, 123, 1402, 1525, 13602, 15127, 179999, 375125, 555124, 930249, 45207076, 46137325, 91344401, 228826127, 2608431798, 2837257925, 25306495198, 28143753123, 334887779551, 697919312225, 1032807091776, 1730726404001, 84107674483824, 85838400887825 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1860498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -24*x^22 +25*x^21 -49*x^20 +123*x^19 -1402*x^18 +1525*x^17 -13602*x^16 +15127*x^15 -179999*x^14 +375125*x^13 -555124*x^12 -930249*x^11 -555124*x^10 -375125*x^9 -179999*x^8 -15127*x^7 -13602*x^6 -1525*x^5 -1402*x^4 -123*x^3 -49*x^2 -25*x -24) / ((x^4 -11*x^2 -1)*(x^4 +11*x^2 -1)*(x^8 -11*x^6 +122*x^4 +11*x^2 +1)*(x^8 +11*x^6 +122*x^4 -11*x^2 +1)). - Colin Barker, Dec 02 2013
MATHEMATICA
Numerator[Convergents[Sqrt[605], 30]] (* Vincenzo Librandi, Nov 18 2013 *)
CROSSREFS
Sequence in context: A042164 A042166 A042158 * A042156 A042154 A042152
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)