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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041538 Numerators of continued fraction convergents to sqrt(286). 2
16, 17, 186, 575, 1911, 4397, 15102, 49703, 512132, 561835, 18490852, 19052687, 209017722, 646105853, 2147335281, 4940776415, 16969664526, 55849769993, 575467364456, 631317134449, 20777615666824, 21408932801273, 234866943679554, 726009763839935 (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 (0,0,0,0,0,0,0,0,0,1123670,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -16*x^18 +17*x^17 -186*x^16 +575*x^15 -1911*x^14 +4397*x^13 -15102*x^12 +49703*x^11 -512132*x^10 -561835*x^9 -512132*x^8 -49703*x^7 -15102*x^6 -4397*x^5 -1911*x^4 -575*x^3 -186*x^2 -17*x -16) / (x^20 -1123670*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[286], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041539.

Sequence in context: A300133 A041534 A041536 * A033052 A041540 A041541

Adjacent sequences:  A041535 A041536 A041537 * A041539 A041540 A041541

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 16 12:00 EDT 2018. Contains 316263 sequences. (Running on oeis4.)