|
%I #12 Oct 10 2019 17:07:56
%S 1,18,244,3048,37072,446880,5370688,64480896,773901568,9287342592,
%T 111450207232,1337410873344,16048964030464,192587702575104,
%U 2311052967755776,27732637760520192,332791661716111360
%N Expansion of 1/((1-2x)(1-4x)(1-12x)).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (18,-80,96).
%F From _Vincenzo Librandi_, Mar 16 2011: (Start)
%F a(n) = 18*a(n-1) - 80*a(n-2) + 96*a(n-3), n >= 3.
%F a(n) = 16*a(n-1) - 48*a(n-2) + 2^n, n >= 2. (End)
%F a(n) = 9*12^n/5 + 2^n/5 - 4^n. - _R. J. Mathar_, Mar 17 2011
%t CoefficientList[Series[1/((1-2x)(1-4x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{18,-80,96},{1,18,244},20] (* _Harvey P. Dale_, Oct 10 2019 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_
|
