%I A051606
%S A051606 1,9,108,1620,29160,612360,14696640,396809280,11904278400,392841187200,
%T A051606 14142282739200,551549026828800,23165059126809600,1042427660706432000,
%U A051606 50036527713908736000,2551862913409345536000,137800597324104658944000
%N A051606 (3*n+6)!!!/6!!!, related to A032031 ((3*n)!!! triple factorials).
%C A051606 Row m=6 of the array A(4; m,n) := ((3*n+m)(!^3))/m(!^3), m >= 0, n >= 
               0.
%F A051606 a(n) = ((3*n+6)(!^3))/6(!^3); e.g.f.: 1/(1-3*x)^3.
%F A051606 a(n)=n!*3^(n-2)/2, n>=2 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Sep 23 2006
%p A051606 [seq(n!*3^(n-2)/2, n=2..18)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Sep 23 2006
%p A051606 with(combstruct):ZL:=[T,{T=Union(Z,Prod(Epsilon,Z,T),Prod(T,Z,Epsilon),
               Prod(T,Z))},labeled]:seq(count(ZL,size=i)/6,i=2..18); - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Dec 16 2007
%p A051606 restart: G(x):=(1-3*x)^(n-4): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1],
               x) od:x:=0:seq(f[n],n=0..16);# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 04 2009]
%Y A051606 Cf. A032031, A007559(n+1), A034000(n+1), A034001(n+1), A051604-A051609 
               (rows m=0..9).
%Y A051606 Sequence in context: A080505 A104224 A099676 this_sequence A001691 A157906 
               A166846
%Y A051606 Adjacent sequences: A051603 A051604 A051605 this_sequence A051607 A051608 
               A051609
%K A051606 easy,nonn
%O A051606 0,2
%A A051606 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)