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 A051687 #15 Sep 08 2022 08:44:59 %S A051687 1,11,176,3696,96096,2978976,107243136,4396968576,202260554496, %T A051687 10315288279296,577656143640576,35237024762075136,2325643634296958976, %U A051687 165120698035084087296,12549173050666390634496 %N A051687 a(n) = (5*n+6)(!^5)/6, related to A008548 ((5*n+1)(!^5) quintic, or 5-factorials). %C A051687 Row m=6 of the array A(6; m,n) := ((5*n+m)(!^5))/m(!^5), m >= 0, n >= 0. %H A051687 G. C. Greubel, <a href="/A051687/b051687.txt">Table of n, a(n) for n = 0..353</a> %F A051687 a(n) = ((5*n+6)(!^5))/6(!^5). %F A051687 E.g.f.: 1/(1-5*x)^(11/5). %t A051687 s=1;lst={s};Do[s+=n*s;AppendTo[lst, s], {n, 10, 5!, 5}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 08 2008 *) %t A051687 With[{nn = 30}, CoefficientList[Series[1/(1 - 5*x)^(11/5), {x, 0, nn}], x]*Range[0, nn]!] (* _G. C. Greubel_, Aug 15 2018 *) %o A051687 (PARI) x='x+O('x^30); Vec(serlaplace(1/(1-5*x)^(11/5))) \\ _G. C. Greubel_, Aug 15 2018 %o A051687 (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-5*x)^(11/5))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Aug 15 2018 %Y A051687 Cf. A052562, A008548(n+1), A034323(n+1), A034300(n+1), A034301(n+1), A034325(n+1), A051687-A051691 (rows m=0..10). %K A051687 easy,nonn %O A051687 0,2 %A A051687 _Wolfdieter Lang_