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 A165150 #12 Mar 21 2023 18:35:02 %S A165150 1,12,132,1392,14352,146112,1476672,14860032,149160192,1494961152, %T A165150 14969766912,149818601472,1498911608832,14993469652992, %U A165150 149960817917952,1499764907507712,14998589445046272,149991536670277632,1499949220021665792,14999695320129994752,149998171920779968512 %N A165150 a(n) = (3*10^n - 6^n)/2. %C A165150 Binomial transform of A165149. Inverse binomial transform of A165151. %H A165150 Vincenzo Librandi, <a href="/A165150/b165150.txt">Table of n, a(n) for n = 0..200</a> %H A165150 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-60). %F A165150 a(n) = 16*a(n-1) - 60*a(n-2) for n > 1; a(0) = 1, a(1) = 12. %F A165150 G.f.: (1 - 4*x)/((1 - 6*x)*(1 - 10*x)). %F A165150 E.g.f.: exp(6*x)*(3*exp(4*x) - 1)/2. - _Stefano Spezia_, Mar 21 2023 %o A165150 (Magma) [ (3*10^n-6^n)/2: n in [0..17] ]; %Y A165150 Cf. A165149, A165151. %K A165150 nonn,easy %O A165150 0,2 %A A165150 _Klaus Brockhaus_, Sep 15 2009