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!)
A042028 Numerators of continued fraction convergents to sqrt(538). 2

%I #16 Mar 18 2017 15:25:59

%S 23,116,835,951,1786,13453,69051,3189799,16018046,115316121,131334167,

%T 246650288,1857886183,9536081203,440517621521,2212124188808,

%U 15925386943177,18137511131985,34062898075162,256577797658119,1316951886365757,60836364570482941

%N Numerators of continued fraction convergents to sqrt(538).

%H Vincenzo Librandi, <a href="/A042028/b042028.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 138102, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^13 -23*x^12 +116*x^11 -835*x^10 +951*x^9 -1786*x^8 +13453*x^7 +69051*x^6 +13453*x^5 +1786*x^4 +951*x^3 +835*x^2 +116*x +23) / (x^14 +138102*x^7 -1). - _Colin Barker_, Nov 29 2013

%t Numerator[Convergents[Sqrt[538], 30]] (* _Vincenzo Librandi_, Nov 14 2013 *)

%Y Cf. A042029, A040514.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013

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 24 11:49 EDT 2024. Contains 371936 sequences. (Running on oeis4.)