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%I #14 Sep 08 2022 08:44:48
%S 1,8,49,486,5537,55924,523665,4766162,43013953,387361440,3486684401,
%T 31380898558,282429287649,2541865457036,22876791917137,
%U 205891131335274,1853020187803265,16677181698246712,150094635295109553
%N a(n) = 9^n-n^5.
%H Vincenzo Librandi, <a href="/A024106/b024106.txt">Table of n, a(n) for n = 0..400</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (15,-69,155,-195,141,-55,9).
%F G.f.: -(10*x^6+227*x^5+583*x^4+148*x^3-2*x^2-7*x+1) / ((x-1)^6*(9*x-1)). - _Colin Barker_, Jan 25 2015
%t Table[9^n-n^5,{n,0,20}] (* or *) LinearRecurrence[{15,-69,155,-195,141,-55,9},{1,8,49,486,5537,55924,523665},20] (* _Harvey P. Dale_, Sep 11 2019 *)
%o (Magma) [9^n-n^5: n in [0..25]]; // _Vincenzo Librandi_, Jul 06 2011
%o (PARI) Vec(-(10*x^6+227*x^5+583*x^4+148*x^3-2*x^2-7*x+1)/((x-1)^6*(9*x-1)) + O(x^100)) \\ _Colin Barker_, Jan 25 2015
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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