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%I #9 Sep 08 2022 08:45:46
%S 1,10,108,1240,14864,183200,2296512,29075840,370237696,4729776640,
%T 60533664768,775533844480,9941579730944,127482480926720,
%U 1635024283287552,20972097420492800,269019714347401216,3450961324262686720,44269412765292822528,567899813473689272320
%N a(n) = 20*a(n-1) - 92*a(n-2) for n > 1; a(0) = 1, a(1) = 10.
%C Binomial transform of A152267. Tenth binomial transform of powers of 8 interleaved with zeros.
%H G. C. Greubel, <a href="/A163206/b163206.txt">Table of n, a(n) for n = 0..900</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-92).
%F a(n) = ((10+sqrt(8))^n + (10-sqrt(8))^n)/2.
%F G.f.: (1-10*x)/(1-20*x+92*x^2).
%t LinearRecurrence[{20, -92}, {1, 10}, 50] (* or *) Table[((10+Sqrt[8])^n + (10-Sqrt[8])^n)/2,{n,0,25}] (* _G. C. Greubel_, Dec 10 2016 *)
%o (Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-92*Self(n-2): n in [1..17] ];
%o (PARI) Vec((1-10*x)/(1-20*x+92*x^2) + O(x^50)) \\ _G. C. Greubel_, Dec 10 2016
%Y Cf. A152267, A001018 (powers of 8).
%K nonn,easy
%O 0,2
%A _Klaus Brockhaus_, Jul 28 2009
%E Terms a(18) - a(20) added by _G. C. Greubel_, Dec 10 2016
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