%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_
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