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%I #23 Jan 03 2024 08:51:47
%S 0,1,10,105,1100,11525,120750,1265125,13255000,138875625,1455031250,
%T 15244690625,159722062500,1673444078125,17533051093750,
%U 183697731328125,1924642568750000,20164914344140625,211272356285156250,2213548134572265625,23191843127148437500
%N a(n) = 10*a(n-1) + 5*a(n-2), with a(0)=0, a(1)=1.
%H G. C. Greubel, <a href="/A190955/b190955.txt">Table of n, a(n) for n = 0..965</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,5).
%F G.f.: x/(1 - 10*x - 5*x^2). - _R. J. Mathar_, Nov 21 2011
%F a(n+1) = Sum_{k=0..n} A099089(n,k)*5^k. - _Philippe Deléham_, Nov 21 2011
%t LinearRecurrence[{10,5}, {0,1}, 50]
%o (PARI) x='x+O('x^30); concat([0], Vec(x/(1-10*x-5*x^2))) \\ _G. C. Greubel_, Jan 25 2018
%o (Magma) I:=[0,1]; [n le 2 select I[n] else 10*Self(n-1) + 5*Self(n-2): n in [1..30]]; // _G. C. Greubel_, Jan 25 2018
%K nonn
%O 0,3
%A _Vladimir Joseph Stephan Orlovsky_, May 24 2011
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