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%I #16 Jun 29 2023 18:16:27
%S 1,11,120,1300,14000,150000,1600000,17000000,180000000,1900000000,
%T 20000000000,210000000000,2200000000000,23000000000000,
%U 240000000000000,2500000000000000,26000000000000000,270000000000000000
%N 10th binomial transform of (1,1,0,0,0,0,...).
%H Vincenzo Librandi, <a href="/A081122/b081122.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20, -100).
%F a(n) = 20*a(n-1) - 100*a(n-2), a(0) = 1, a(1) = 11.
%F a(n) = (n + 10)*10^(n-1).
%F G.f.: (1 - 9*x)/(1 - 10*x)^2.
%F E.g.f.: exp(10*x)*(1 + x). - _Stefano Spezia_, Mar 04 2023
%t CoefficientList[Series[(1 - 9 x) / (1 - 10 x)^2, {x, 0, 20}], x] (* _Vincenzo Librandi_, Aug 06 2013 *)
%o (Magma) [(n+10)*10^(n-1): n in [0..25]]; // _Vincenzo Librandi_, Aug 06 2013
%Y Cf. A081109, A081108.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Mar 07 2003
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