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%I #22 Sep 08 2022 08:44:48
%S 1,10,-7,-856,-1743,82926,1491625,18663628,212261729,2353164722,
%T 25927424601,285292183440,3138392544913,34522649395414,
%U 379749728169737,4177247998556276,45949729595136705,505447028088955098
%N a(n) = 11^n - n^7.
%H Vincenzo Librandi, <a href="/A024134/b024134.txt">Table of n, a(n) for n = 0..300</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (19,-116,364,-686,826,-644,316,-89,11).
%F a(n) = 19*a(n-1) - 116*a(n-2) + 364*a(n-3) - 686*a(n-4) + 826*a(n-5) - 644*a(n-6) + 316*a(n-7) - 89*a(n-8) + 11*a(n-9) with a(0)=1, a(1)=10, a(2)=-7, a(3)=-856, a(4)=-1743, a(5)=82926, a(6)=1491625, a(7)=18663628, a(8)=212261729. - _Harvey P. Dale_, Aug 12 2012
%t Table[11^n-n^7,{n,0,20}] (* or *) LinearRecurrence[ {19,-116,364,-686,826,-644,316,-89,11},{1,10,-7,-856,-1743,82926,1491625,18663628,212261729},20] (* _Harvey P. Dale_, Aug 12 2012 *)
%o (Magma) [11^n-n^7: n in [0..20]]; // _Vincenzo Librandi_, Jul 01 2011
%o (PARI) a(n)= 11^n-n^7 \\ _Charles R Greathouse IV_, Jul 01 2011
%K sign,easy
%O 0,2
%A _N. J. A. Sloane_