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!)
A028120 Expansion of 1/((1-4x)(1-5x)(1-8x)(1-9x)). 0

%I #15 Sep 01 2018 01:58:01

%S 1,26,431,5824,70077,783510,8335867,85622108,857084393,8414359954,

%T 81378676743,777830951352,7365015041749,69207262292558,

%U 646271819803859,6003846344524756,55534562590626945,511814373212664522

%N Expansion of 1/((1-4x)(1-5x)(1-8x)(1-9x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (26,-245,988,-1440)

%F From _Vincenzo Librandi_, Mar 17 2011: (Start)

%F a(n) = 26*a(n-1) - 245*a(n-2) + 988*a(n-3) - 1440*a(n-4), n >= 4.

%F a(n) = 17*a(n-1) - 72*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

%F a(n) = -2*8^(n+2)/3 + 9^(n+3)/20 - 4^(n+2)/5 + 5^(n+3)/12. - _R. J. Mathar_, Mar 18 2011

%t CoefficientList[Series[1/((1-4x)(1-5x)(1-8x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[{26,-245,988,-1440},{1,26,431,5824},30] (* _Harvey P. Dale_, Jul 19 2015 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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 March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)