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A198400 10^n-10*n. 2

%I #20 Sep 08 2022 08:45:59

%S 1,0,80,970,9960,99950,999940,9999930,99999920,999999910,9999999900,

%T 99999999890,999999999880,9999999999870,99999999999860,

%U 999999999999850,9999999999999840,99999999999999830,999999999999999820

%N 10^n-10*n.

%H Vincenzo Librandi, <a href="/A198400/b198400.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-21,10).

%F a(n) = 12*a(n-1)-21*a(n-2)+10*a(n-3) for n>2.

%F G.f.: (1-12*x+101*x^2)/((1-10*x)*(1-x)^2). - _Vincenzo Librandi_, Jul 06 2012

%t CoefficientList[Series[(1-12*x+101*x^2)/((1-10*x)*(1-x)^2),{x,0,40}],x] (* _Vincenzo Librandi_, Jul 06 2012 *)

%o (Magma) [10^n-10*n: n in [0..25]];

%o (PARI) a(n)=10^n-10*n \\ _Charles R Greathouse IV_, Jul 06 2017

%Y Cf. A005803, A107583, A107584, A107585.

%K nonn,easy

%O 0,3

%A _Vincenzo Librandi_, Oct 26 2011

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)