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 A128787 #21 Sep 08 2022 08:45:30 %S A128787 0,8,256,4608,65536,819200,9437184,102760448,1073741824,10871635968, %T A128787 107374182400,1039382085632,9895604649984,92908732547072, %U A128787 862017116176384,7916483719987200,72057594037927936,650770146155036672 %N A128787 n^2*8^n. %C A128787 Subsequence of A047351. [_Bruno Berselli_, Feb 07 2013] %H A128787 Vincenzo Librandi, <a href="/A128787/b128787.txt">Table of n, a(n) for n = 0..1000</a> %H A128787 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (24,-192,512). %F A128787 G.f.: 8*x*(1 + 8*x)/(1 - 8*x)^3. - _Vincenzo Librandi_, Feb 06 2013 %F A128787 a(n) = 24*a(n-1) - 192*a(n-2) + 512*a(n-3). - _Vincenzo Librandi_, Feb 06 2013 %e A128787 a(1) = 1^2 * 8^1 = 1 * 8 = 8. %e A128787 a(2) = 2^2 * 8^2 = 4 * 64 = 256. %e A128787 a(3) = 3^2 * 8^3 = 9 * 512 = 4608. %t A128787 LinearRecurrence[{24, -192, 512}, {0, 8, 256}, 30] (* or *) CoefficientList[Series[8 x (1 + 8 x)/((1 - 8 x)^3), {x, 0, 30}], x] (* _Vincenzo Librandi_, Feb 06 2013 *) %t A128787 Table[n^2 8^n, {n, 0, 19}] (* _Alonso del Arte_, Feb 06 2013 *) %o A128787 (Magma) [n^2*8^n: n in [0..20]]; // _Vincenzo Librandi_, Feb 06 2013 %Y A128787 Cf. A036289, A007758. %K A128787 nonn,easy %O A128787 0,2 %A A128787 _Mohammad K. Azarian_, Apr 07 2007