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%I #23 Sep 08 2022 08:44:48
%S 1,9,36,271,5904,84375,953344,9882351,99737856,999468559,9999000000,
%T 99998228439,999997014016,9999995173191,99999992470464,
%U 999999988609375,9999999983222784,99999999975862431,999999999965987776
%N a(n) = 10^n - n^6.
%H Vincenzo Librandi, <a href="/A024120/b024120.txt">Table of n, a(n) for n = 0..300</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (17,-91,245,-385,371,-217,71,-10)
%F G.f.: ( 1 - 8*x - 26*x^2 + 233*x^3 + 2753*x^4 + 2942*x^5 + 576*x^6 + 9*x^7 ) / ( (10*x-1)*(x-1)^7 ). - _R. J. Mathar_, Jun 30 2011
%t Table[10^n-n^6,{n,0,30}] (* or *) LinearRecurrence[ {17,-91,245,-385,371,-217,71,-10},{1,9,36,271,5904,84375,953344,9882351},30] (* _Harvey P. Dale_, Oct 09 2012 *)
%o (Magma) [10^n-n^6: n in [0..20]]; // _Vincenzo Librandi_, Jun 30 2011
%o (PARI) a(n) = 10^n-n^6; \\ _Altug Alkan_, Oct 04 2018
%Y Cf. A001014 (n^6), A011557 (10^n).
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_