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 A154128 #12 Sep 08 2022 08:45:40
%S A154128 24,600,9000,105000,1050000,9450000,78750000,618750000,4640625000,
%T A154128 33515625000,234609375000,1599609375000,10664062500000,69726562500000,
%U A154128 448242187500000,2838867187500000,17742919921875000,109588623046875000
%N A154128 a(n) = 5^n*(n+4)!/n!.
%C A154128 Column 4 of square array A152818.
%H A154128 Vincenzo Librandi, <a href="/A154128/b154128.txt">Table of n, a(n) for n = 0..1000</a>
%H A154128 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (25, -250, 1250, -3125, 3125).
%F A154128 a(n) = 5^n*(n+4)*(n+3)*(n+2)*(n+1).
%F A154128 From _R. J. Mathar_, Feb 06 2009: (Start)
%F A154128 a(n) = A052762(n+4)*A000351(n).
%F A154128 a(n) = 24*A036071(n).
%F A154128 G.f: 24/(1-5*x)^5. (End)
%F A154128 From _G. C. Greubel_, Sep 02 2016: (Start)
%F A154128 a(n) = 25*a(n-1) - 250*a(n-2) + 1250*a(n-3) - 3125*a(n-4) + 3125*a(n-5).
%F A154128 E.g.f.: (24 + 480*x + 1800*x^2 + 2000*x^3 + 625*x^4)*exp(5*x). (End)
%t A154128 LinearRecurrence[{25, -250, 1250, -3125, 3125}, {24, 600, 9000, 105000, 1050000}, 25] (* or *) Table[5^n*(n+4)*(n+3)*(n+2)*(n+1), {n,0,25}] (* _G. C. Greubel_, Sep 02 2016 *)
%o A154128 (Magma) [5^n*(n+4)*(n+3)*(n+2)*(n+1): n in [0..20]]; // _Vincenzo Librandi_, Aug 15 2011
%Y A154128 Cf. A000142, A006043, A006044, A152818, A154120.
%K A154128 easy,nonn
%O A154128 0,1
%A A154128 _Omar E. Pol_, Jan 05 2009
%E A154128 More terms from _R. J. Mathar_, Feb 06 2009