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 A051691 #15 Sep 08 2022 08:44:59
%S A051691 1,15,300,7500,225000,7875000,315000000,14175000000,708750000000,
%T A051691 38981250000000,2338875000000000,152026875000000000,
%U A051691 10641881250000000000,798141093750000000000,63851287500000000000000
%N A051691 a(n) = (5*n+10)(!^5)/10(!^5), related to A052562 ((5*n)(!^5) quintic, or 5-factorials).
%C A051691 Row m=10 of the array A(6; m,n) := ((5*n+m)(!^5))/m(!^5), m >= 0, n >= 0.
%H A051691 G. C. Greubel, <a href="/A051691/b051691.txt">Table of n, a(n) for n = 0..352</a>
%F A051691 a(n) = ((5*n+10)(!^5))/10(!^5) = A052562(n+2)/(5*10).
%F A051691 E.g.f.: 1/(1-5*x)^3.
%t A051691 s=1;lst={s};Do[s+=n*s;AppendTo[lst, s], {n, 14, 5!, 5}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 08 2008 *)
%t A051691 With[{nn = 30}, CoefficientList[Series[1/(1 - 5*x)^(15/5), {x, 0, nn}], x]*Range[0, nn]!] (* _G. C. Greubel_, Aug 15 2018 *)
%o A051691 (PARI) x='x+O('x^30); Vec(serlaplace(1/(1-5*x)^(15/5))) \\ _G. C. Greubel_, Aug 15 2018
%o A051691 (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-5*x)^(15/5))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Aug 15 2018
%Y A051691 Cf. A052562, A008548(n+1), A034323(n+1), A034300(n+1), A034301(n+1), A034325(n+1), A051687-A051691 (rows m=0..10).
%K A051691 easy,nonn
%O A051691 0,2
%A A051691 _Wolfdieter Lang_