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!)
A049346 Coefficient of x^(-n) in expansion of continued fraction 0, x, x^2, x^3, x^4, ... . 6

%I #25 Nov 07 2021 11:02:21

%S 0,1,0,0,-1,0,0,1,0,1,-1,0,-2,1,-1,3,-2,3,-4,4,-6,7,-8,11,-13,16,-20,

%T 24,-31,37,-46,58,-70,88,-108,133,-167,204,-252,315,-386,479,-594,731,

%U -909,1122,-1386,1720,-2124,2628,-3254,4022,-4980,6160,-7618,9432,-11665,14433,-17860,22093,-27341,33824,-41847

%N Coefficient of x^(-n) in expansion of continued fraction 0, x, x^2, x^3, x^4, ... .

%C Absolute values are essentially A227310. - _Franklin T. Adams-Watters_, Oct 31 2014

%H Seiichi Manyama, <a href="/A049346/b049346.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: 1 - 1/G(0), where G(k)= 1 + x^(k+1)/(1 - x^(k+1)/G(k+1) ); (continued fraction). - _Sergei N. Gladkovskii_, Jun 29 2013

%F G.f.: W(0) - 1, where W(k) = 1 - x^(k+1)/( x^(k+1) - 1/(1 - x^(k+1)/( x^(k+1) + 1/W(k+1) ))); (continued fraction). - _Sergei N. Gladkovskii_, Aug 27 2013

%K sign

%O 0,13

%A Alain Lasjauniasith (lasjauni(AT)math.u-bordeaux.fr.yyy.com)

%E Added more terms, _Joerg Arndt_, Jun 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 May 12 03:46 EDT 2024. Contains 372431 sequences. (Running on oeis4.)