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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041282 Numerators of continued fraction convergents to sqrt(154). 2
12, 25, 62, 211, 273, 757, 1030, 3847, 8724, 21295, 519804, 1060903, 2641610, 8985733, 11627343, 32240419, 43867762, 163843705, 371555172, 906954049, 22138452348, 45183858745, 112506169838, 382702368259, 495208538097, 1373119444453, 1868327982550 (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 (0,0,0,0,0,0,0,0,0,42590,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -12*x^18 +25*x^17 -62*x^16 +211*x^15 -273*x^14 +757*x^13 -1030*x^12 +3847*x^11 -8724*x^10 -21295*x^9 -8724*x^8 -3847*x^7 -1030*x^6 -757*x^5 -273*x^4 -211*x^3 -62*x^2 -25*x -12) / (x^20 -42590*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[154], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041283.

Sequence in context: A058848 A292493 A042869 * A195116 A041284 A171069

Adjacent sequences:  A041279 A041280 A041281 * A041283 A041284 A041285

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 20 13:24 EDT 2019. Contains 323422 sequences. (Running on oeis4.)