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%I #16 Aug 21 2021 13:06:35
%S -4,-9,-19,-9,317,3351,26141,183111,1216637,7842231,49591901,
%T 309595431,1915328957,11771279511,71987413661,438579282951,
%U 2664183937277,16146410851191,97676152243421,590010212989671,3559688008961597
%N a(n) = 6^n-5^n-4^n-3^n-2^n-1.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (21,-175,735,-1624,1764,-720).
%F G.f.: x*(1524*x^5-2700*x^4+1755*x^3-530*x^2+75*x-4)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)). [_Colin Barker_, Oct 29 2012]
%t lst={};Do[p=6^n-5^n-4^n-3^n-2^n-1^n;AppendTo[lst,p],{n,0,5!}];lst
%t Table[6^n-5^n-4^n-3^n-2^n-1,{n,0,20}] (* or *) LinearRecurrence[{21,-175,735,-1624,1764,-720},{-4,-9,-19,-9,317,3351},30] (* _Harvey P. Dale_, Jan 17 2017 *)
%Y Cf. A147975, A147976, A147978, A147979.
%K sign,easy
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Nov 18 2008
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