This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A163166 #7 Sep 08 2022 08:45:46 %S A163166 1,10,105,1150,13025,151250,1787625,21383750,257850625,3125556250, %T A163166 38015315625,463378468750,5656114390625,69101333281250, %U A163166 844695798515625,10329289308593750,126339685312890625,1545511221941406250 %N A163166 a(n) = 20*a(n-1)-95*a(n-2) for n > 1; a(0) = 1, a(1) = 10. %C A163166 Binomial transform of A152261. Tenth binomial transform of powers of 5 interleaved with zeros. %H A163166 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-95). %F A163166 a(n) = ((10+sqrt(5))^n+(10-sqrt(5))^n)/2. %F A163166 G.f.: (1-10*x)/(1-20*x+95*x^2). %t A163166 LinearRecurrence[{20,-95},{1,10},20] (* _Harvey P. Dale_, Jul 08 2017 *) %o A163166 (Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-95*Self(n-2): n in [1..18] ]; %Y A163166 Cf. A000351 (powers of 5), A152261. %K A163166 nonn,easy %O A163166 0,2 %A A163166 _Klaus Brockhaus_, Jul 22 2009