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!)
A025948 Expansion of 1/((1-2x)(1-3x)(1-8x)(1-9x)). 0

%I #12 Jul 30 2015 22:26:46

%S 1,22,321,3938,44045,465894,4751017,47229226,460842789,4433881166,

%T 42195474113,398084143314,3729357886333,34737030515638,

%U 322015765266009,2973201855377402,27359296571272277,251037508511614110

%N Expansion of 1/((1-2x)(1-3x)(1-8x)(1-9x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (22, -163, 462, -432).

%F a(n) = -4*2^n/21 +9*3^n/10 -256*8^n/15 +243*9^n/14. - _R. J. Mathar_, Jun 20 2013

%F a(0)=1, a(1)=22, a(2)=321, a(3)=3938, a(n)=22*a(n-1)-163*a(n-2)+ 462*a(n-3)- 432*a(n-4). - _Harvey P. Dale_, Oct 04 2014

%t CoefficientList[Series[1/((1-2x)(1-3x)(1-8x)(1-9x)),{x,0,20}],x] (* or *) LinearRecurrence[{22,-163,462,-432},{1,22,321,3938},20] (* _Harvey P. Dale_, Oct 04 2014 *)

%K nonn,easy

%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 April 20 00:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)