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!)
A016293 Expansion of 1/((1-2x)(1-4x)(1-11x)). 1

%I #16 Jun 13 2015 00:48:38

%S 1,17,215,2485,27831,308157,3397855,37409045,411630311,4528457197,

%T 49815125295,547974764805,6027755963191,66305449804637,

%U 729360484705535,8022967479211765,88252650861198471,970779193832790477,10678571269599386575,117464284515348541925

%N Expansion of 1/((1-2x)(1-4x)(1-11x)).

%H Harvey P. Dale, <a href="/A016293/b016293.txt">Table of n, a(n) for n = 0..959</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-74,88).

%F Contribution from _Vincenzo Librandi_, Mar 15 2011: (Start)

%F a(n) = 17*a(n-1) - 74*a(n-2) + 88*a(n-3), n>=3.

%F a(n) = 15*a(n-1) - 44*a(n-2) + 2^n, a(0)=1, a(1)=17. (End)

%F a(n) = (2/9)*2^n-(8/7)*(4)^n+(121/63)*11^n. - _Antonio Alberto Olivares_, May 12, 2012

%t CoefficientList[Series[1/((1-2x)(1-4x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{17,-74,88},{1,17,215},30] (* _Harvey P. Dale_, Apr 26 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 April 24 17:20 EDT 2024. Contains 371962 sequences. (Running on oeis4.)