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 A053104 #15 Sep 08 2022 08:45:00 %S A053104 1,15,330,9570,344520,14814360,740718000,42220926000,2702139264000, %T A053104 191851887744000,14964447244032000,1271978015742720000, %U A053104 117021977448330240000,11585175767384693760000 %N A053104 a(n) = ((7*n+8)(!^7))/8, related to A045754 ((7*n+1)(!^7) sept-, or 7-factorials). %C A053104 Row m=8 of the array A(8; m,n) := ((7*n+m)(!^7))/m(!^7), m >= 0, n >= 0. %H A053104 G. C. Greubel, <a href="/A053104/b053104.txt">Table of n, a(n) for n = 0..337</a> %F A053104 a(n) = ((7*n+8)(!^7))/8(!^7) = A045754(n+2)/8. %F A053104 E.g.f.: 1/(1-7*x)^(15/7). %t A053104 s=1;lst={s};Do[s+=n*s;AppendTo[lst, s], {n, 14, 5!, 7}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 08 2008 *) %t A053104 With[{nn = 30}, CoefficientList[Series[1/(1 - 7*x)^(15/7), {x, 0, nn}], x]*Range[0, nn]!] (* _G. C. Greubel_, Aug 16 2018 *) %o A053104 (PARI) x='x+O('x^30); Vec(serlaplace(1/(1-7*x)^(15/7))) \\ _G. C. Greubel_, Aug 16 2018 %o A053104 (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-7*x)^(15/7))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Aug 16 2018 %Y A053104 Cf. A051188, A045754(n+1), A034829-34(n+1), A053104-A053106 (rows m=0..10). %K A053104 easy,nonn %O A053104 0,2 %A A053104 _Wolfdieter Lang_