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 A059224 #29 Dec 21 2024 23:52:04
%S A059224 18,70,224,648,1760,4576,11520,28288,68096,161280,376832,870400,
%T A059224 1990656,4513792,10158080,22708224,50462720,111542272,245366784,
%U A059224 537395200,1172307968,2548039680,5519704064,11920211968,25669140480,55129931776,118111600640,252463546368,538481524736
%N A059224 a(n) = 2^(n-3)*(n + 3)*(2*n - 3).
%H A059224 Harry J. Smith, <a href="/A059224/b059224.txt">Table of n, a(n) for n = 3..200</a>
%H A059224 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,8).
%F A059224 G.f. = 2x^3*(9-19x+10x^2)/(1-2x)^3. - _Emeric Deutsch_, Jun 27 2009
%F A059224 From _G. C. Greubel_, Dec 30 2016: (Start)
%F A059224 a(n) = 6*a(n-1) - 12*a(n-2) + 8*a(n-3).
%F A059224 E.g.f.: (1/8)*((9 + 8*x - 10*x^2) - (9 - 10*x - 8*x^2)*exp(2*x)). (End)
%p A059224 seq(2^(n-3)*(n+3)*(2*n-3), n = 3 .. 32); # _Emeric Deutsch_, Jun 27 2009
%t A059224 Table[2^(n-3)*(n + 3)*(2*n - 3), {n,3,50}] (* or *) LinearRecurrence[{6, -12, 8}, {18, 70, 224}, 25] (* _G. C. Greubel_, Dec 30 2016 *)
%o A059224 (PARI) a(n) = { 2^(n - 3)*(n + 3)*(2*n - 3) } \\ _Harry J. Smith_, Jun 25 2009
%Y A059224 A diagonal of triangle defined in A059226.
%K A059224 nonn,easy
%O A059224 3,1
%A A059224 _N. J. A. Sloane_, Jan 19 2001