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 A165152 #15 Mar 30 2023 19:10:49
%S A165152 1,14,184,2336,29056,356864,4347904,52699136,636583936,7672561664,
%T A165152 92339175424,1110217588736,13339790934016,160214930161664,
%U A165152 1923678673567744,23092940175835136,277185650854199296,3326790760203812864,39925992722073124864,479147941461896462336
%N A165152 a(n) = (3*12^n - 8^n)/2.
%C A165152 Binomial transform of A165151. Sixth binomial transform of A016129. Tenth binomial transform of A056450.
%H A165152 Vincenzo Librandi, <a href="/A165152/b165152.txt">Table of n, a(n) for n = 0..200</a>
%H A165152 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-96).
%F A165152 a(n) = 20*a(n-1) - 96*a(n-2) for n > 1; a(0) = 1, a(1) = 14.
%F A165152 G.f.: (1 - 6*x)/((1 - 8*x)*(1 - 12*x)).
%F A165152 E.g.f.: exp(8*x)*(3*exp(4*x) - 1)/2. - _Stefano Spezia_, Mar 30 2023
%p A165152 A165152:=n->(3*12^n - 8^n)/2; seq(A165152(n), n=0..17); # _Wesley Ivan Hurt_, Jan 29 2014
%t A165152 Table[(3*12^n - 8^n)/2, {n, 0, 17}] (* _Wesley Ivan Hurt_, Jan 29 2014 *)
%o A165152 (Magma) [ (3*12^n-8^n)/2: n in [0..17] ];
%Y A165152 Cf. A165151, A016129, A056450.
%K A165152 nonn,easy
%O A165152 0,2
%A A165152 _Klaus Brockhaus_, Sep 15 2009