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 A086603 #24 Sep 08 2022 08:45:11 %S A086603 0,1,24,243,1728,10125,52488,250047,1119744,4782969,19683000,78594219, %T A086603 306110016,1167575877,4374822312,16142520375,58773123072,211488540273, %U A086603 753145430616,2657317134051,9298091736000,32291110337661 %N A086603 a(n) = n^3*3^(n-1). %C A086603 Binomial transform of A086604. Second binomial transform of A086605. %H A086603 G. C. Greubel, <a href="/A086603/b086603.txt">Table of n, a(n) for n = 0..1000</a> %H A086603 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (12,-54,108,-81). %F A086603 From _G. C. Greubel_, Feb 08 2020: (Start) %F A086603 G.f.: x*(1 + 12*x + 9*x^2)/(1-3*x)^4. %F A086603 E.g.f.: x*(1 + 9*x + 9*x^2)*exp(x). (End) %p A086603 seq( 3^(n-1)*n^3, n=0..30); # _G. C. Greubel_, Feb 08 2020 %t A086603 Table[n^3 3^(n-1),{n,0,30}] (* _Harvey P. Dale_, Mar 12 2011 *) %o A086603 (PARI) vector(31, n, my(m=n-1); 3^(m-1)*m^3) \\ _G. C. Greubel_, Feb 08 2020 %o A086603 (Magma) [3^(n-1)*n^3: n in [0..30]]; // _G. C. Greubel_, Feb 08 2020 %o A086603 (Sage) [3^(n-1)*n^3 for n in (0..30)] # _G. C. Greubel_, Feb 08 2020 %o A086603 (GAP) List([0..30], n-> 3^(n-1)*n^3 ); # _G. C. Greubel_, Feb 08 2020 %Y A086603 Cf. A014477, A086604, A086605. %K A086603 easy,nonn %O A086603 0,3 %A A086603 _Paul Barry_, Jul 23 2003