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A024117 a(n) = 10^n - n^3. 2

%I #14 Sep 08 2022 08:44:48

%S 1,9,92,973,9936,99875,999784,9999657,99999488,999999271,9999999000,

%T 99999998669,999999998272,9999999997803,99999999997256,

%U 999999999996625,9999999999995904,99999999999995087,999999999999994168,9999999999999993141,99999999999999992000

%N a(n) = 10^n - n^3.

%H Vincenzo Librandi, <a href="/A024117/b024117.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (14,-46,64,-41,10).

%F From _Colin Barker_, Oct 05 2018: (Start)

%F G.f.: (1 - 5*x + 12*x^2 + 35*x^3 + 11*x^4) / ((1 - x)^4*(1 - 10*x)).

%F a(n) = 14*a(n-1) - 46*a(n-2) + 64*a(n-3) - 41*a(n-4) + 10*a(n-5) for n>4.

%F (End)

%o (Magma) [10^n-n^3: n in [0..20]]; // _Vincenzo Librandi_, Jun 30 2011

%o (PARI) Vec((1 - 5*x + 12*x^2 + 35*x^3 + 11*x^4) / ((1 - x)^4*(1 - 10*x)) + O(x^30)) \\ _Colin Barker_, Oct 05 2018

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified May 31 17:16 EDT 2024. Contains 373003 sequences. (Running on oeis4.)