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 A051604 #18 Feb 06 2023 15:26:00
%S A051604 1,7,70,910,14560,276640,6086080,152152000,4260256000,132067936000,
%T A051604 4490309824000,166141463488000,6645658539520000,285763317199360000,
%U A051604 13145112591170560000,644110516967357440000,33493746882302586880000,1842156078526642278400000
%N A051604 a(n) = (3*n+4)!!!/4!!!.
%C A051604 Related to A007559(n+1) ((3*n+1)!!! triple factorials).
%C A051604 Row m=4 of the array A(4; m,n) := ((3*n+m)(!^3))/m(!^3), m >= 0, n >= 0.
%H A051604 G. C. Greubel, <a href="/A051604/b051604.txt">Table of n, a(n) for n = 0..378</a>
%F A051604 a(n) = ((3*n+4)(!^3))/4(!^3).
%F A051604 E.g.f.: 1/(1-3*x)^(7/3).
%F A051604 Sum_{n>=0} 1/a(n) = 1 + 3*(3*e)^(1/3)*(Gamma(7/3) - Gamma(7/3, 1/3)). - _Amiram Eldar_, Dec 23 2022
%t A051604 With[{nn = 30}, CoefficientList[Series[1/(1-3*x)^(7/3), {x, 0, nn}], x]* Range[0,nn]! ] (* _G. C. Greubel_, Aug 15 2018 *)
%t A051604 With[{c=Times@@Range[4,1,-3]},Table[(Times@@Range[3n+4,1,-3])/c,{n,0,20}]] (* _Harvey P. Dale_, Feb 06 2023 *)
%o A051604 (PARI) x='x+O('x^30); Vec(serlaplace(1/(1-3*x)^(7/3))) \\ _G. C. Greubel_, Aug 15 2018
%o A051604 (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-3*x)^(7/3))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Aug 15 2018
%Y A051604 Cf. A032031, A007559(n+1), A034000(n+1), A034001(n+1). (rows m=0..3).
%K A051604 easy,nonn
%O A051604 0,2
%A A051604 _Wolfdieter Lang_