login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041686 Numerators of continued fraction convergents to sqrt(363). 2
19, 362, 13775, 262087, 9973081, 189750626, 7220496869, 137379191137, 5227629760075, 99462344632562, 3784796725797431, 72010600134783751, 2740187601847579969, 52135575035238803162, 1983892038940922100125, 37746084314912758705537, 1436335096005625752910531 (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 (0,724,0,-1).

FORMULA

G.f.: -(x^3-19*x^2-362*x-19) / (x^4-724*x^2+1). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[363], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

CROSSREFS

Cf. A041687.

Sequence in context: A001029 A057685 A243399 * A263371 A023283 A075839

Adjacent sequences:  A041683 A041684 A041685 * A041687 A041688 A041689

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 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 May 29 03:06 EDT 2020. Contains 334696 sequences. (Running on oeis4.)