login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041934 Numerators of continued fraction convergents to sqrt(490). 2
22, 155, 332, 487, 2280, 9607, 40708, 50315, 141338, 1039681, 45887302, 322250795, 690388892, 1012639687, 4740947640, 19976430247, 84646668628, 104623098875, 293892866378, 2161873163521, 95416312061302, 670076057592635, 1435568427246572, 2105644484839207 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2079362,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -22*x^18 +155*x^17 -332*x^16 +487*x^15 -2280*x^14 +9607*x^13 -40708*x^12 +50315*x^11 -141338*x^10 -1039681*x^9 -141338*x^8 -50315*x^7 -40708*x^6 -9607*x^5 -2280*x^4 -487*x^3 -332*x^2 -155*x -22) / ((x^10 -1442*x^5 +1)*(x^10 +1442*x^5 +1)). - Colin Barker, Nov 27 2013

MATHEMATICA

Numerator/@Convergents[Sqrt[490], 30] (* Harvey P. Dale, May 05 2011 *)

CROSSREFS

Cf. A041935, A040467.

Sequence in context: A245380 A271635 A130438 * A027943 A224257 A244868

Adjacent sequences:  A041931 A041932 A041933 * A041935 A041936 A041937

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 27 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 March 25 22:28 EDT 2019. Contains 321477 sequences. (Running on oeis4.)