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!)
A041514 Numerators of continued fraction convergents to sqrt(274). 2
16, 17, 33, 149, 629, 778, 1407, 45802, 47209, 93011, 419253, 1770023, 2189276, 3959299, 128886844, 132846143, 261732987, 1179778091, 4980845351, 6160623442, 11141468793, 362687624818, 373829093611, 736516718429, 3319895967327, 14016100587737, 17335996555064 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,2814,0,0,0,0,0,0,1).
FORMULA
G.f.: -(x^13 -16*x^12 +17*x^11 -33*x^10 +149*x^9 -629*x^8 +778*x^7 +1407*x^6 +778*x^5 +629*x^4 +149*x^3 +33*x^2 +17*x +16) / (x^14 +2814*x^7 -1). - Colin Barker, Nov 08 2013
MATHEMATICA
Numerator[Convergents[Sqrt[274], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
CROSSREFS
Cf. A041515.
Sequence in context: A041520 A058542 A041516 * A041512 A267029 A070869
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 08 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 April 22 09:42 EDT 2024. Contains 371894 sequences. (Running on oeis4.)