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 A248343 #20 Mar 31 2025 18:25:32
%S A248343 0,2,36,488,5904,67232,737856,7902848,83222784,865782272,8926258176,
%T A248343 91410065408,931280523264,9450244186112,95601953488896,
%U A248343 964815627911168,9718525023289344,97748200186314752,981985601490518016,9855884811924144128
%N A248343 a(n) = 10^n - 8^n.
%H A248343 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (18,-80).
%F A248343 G.f.: 2*x/((1-8*x)*(1-10*x)).
%F A248343 a(n) = 18*a(n-1) - 80*a(n-2).
%F A248343 a(n) = 2^n*(5^n - 4^n) = A000079(n)*A005060(n) = A011557(n) - A001018(n).
%F A248343 a(n+1) = 2*A016186(n).
%F A248343 E.g.f.: 2*exp(9*x)*sinh(x). - _Elmo R. Oliveira_, Mar 31 2025
%t A248343 Table[10^n - 8^n, {n, 0, 25}] (* or *) CoefficientList[Series[2 x/((1 - 8 x) (1 - 10 x)), {x, 0, 30}], x]
%t A248343 LinearRecurrence[{18,-80},{0,2},30] (* _Harvey P. Dale_, May 21 2018 *)
%o A248343 (Magma) [10^n-8^n: n in [0..30]];
%Y A248343 Cf. A016185, A016186, A139746.
%Y A248343 Cf. A000079, A001018, A005060, A011557.
%K A248343 nonn,easy
%O A248343 0,2
%A A248343 _Vincenzo Librandi_, Oct 05 2014