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 A370179 #9 May 18 2024 15:15:02
%S A370179 1,9,89,881,8729,86489,856961,8491049,84132089,833608241,8259662969,
%T A370179 81839440889,810891934721,8034582380489,79609268836889,
%U A370179 788794660956401,7815635368139609,77439870261864089,767299550670033281,7602654788387076329,75329589051513986489
%N A370179 a(n) = floor(x*a(n-1)) for n > 0 where x = (9 + 3*sqrt(13))/2, a(0) = 1.
%H A370179 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,0,-9).
%F A370179 a(n) = 10*a(n-1) - 9*a(n-3) for n > 2, a(0) = 1, a(1) = 9, a(2) = 89.
%F A370179 a(n) = 9*a(n-1) + 9*a(n-2) - 1.
%F A370179 G.f.: (1-x-x^2)/((1-x)*(1-9*x-9*x^2)).
%F A370179 a(n) = Sum_{k = 0..n} A370174(n,k)*8^k.
%F A370179 a(n) = (16*A057092(n) + 8*A057092(n-1) + 1)/17.
%t A370179 LinearRecurrence[{10,0,-9},{1,9,89},21] (* _Stefano Spezia_, Apr 24 2024 *)
%Y A370179 Cf. A057092, A090655 (x value), A370174.
%K A370179 nonn,easy
%O A370179 0,2
%A A370179 _Philippe Deléham_, Apr 24 2024