A028205 - OEIS

%I #15 Aug 31 2018 02:55:06

%S 1,33,688,11598,172879,2380371,31036006,389148576,4740682837,

%T 56509956789,662486064604,7666900074834,87835709417275,

%U 998290939845687,11274360941128882,126686827598516772,1417790522653118593

%N Expansion of 1/((1-6x)(1-7x)(1-9x)(1-11x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (33,-401,2127,-4158)

%F a(n) = 20*a(n-1) - 99*a(n-2) + 7^(n+1) - 6^(n+1), n >= 2. - _Vincenzo Librandi_, Mar 13 2011

%F a(n) = -3*9^(n+2)/4 + 11^(n+3)/40 + 7^(n+3)/8 - 2*6^(n+2)/5. - _R. J. Mathar_, Mar 18 2011

%t CoefficientList[Series[1/((1-6x)(1-7x)(1-9x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{33,-401,2127,-4158},{1,33,688,11598},30] (* _Harvey P. Dale_, Sep 12 2016 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_