%I A055462
%S A055462 1,1,2,24,6912,238878720,5944066965504000,745453331864786829312000000,
%T A055462 3769447945987085350501386572267520000000000,
%U A055462 6916686207999802072984424331678589933649915805696000000000000000
%N A055462 Superduperfactorials: product of first n superfactorials.
%C A055462 Next term is 46055492324773905212722208920097589966225904305970614833621406622679040000000000000000000000 
               (92 characters) [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Jun 13 2009]
%C A055462 Contribution from Peter Luschny (peter(AT)luschny.de), Jul 14 2009: (Start)
%C A055462 Starting with offset 1, a(n) is a 'Matryoshka doll' sequence with alpha=1, 
               the mutiplicative counterpart to the additive A000332.
%C A055462 seq(mul(mul(mul(i,i=alpha..k),k=alpha..n),n=alpha..m),m=alpha..10). (End)
%F A055462 a(n) = a(n-1)*A000178(n) = Product[(i!)^(n-i+1)] over 1 <= i <= n = Product[i^((n-i+1)(n-i+2)/
               2)] over 1 <= i <= n
%e A055462 a(4) = 1!2!3!4!*1!2!3!*1!2!*1! = 288*12*2*1 = 6912
%t A055462 s1=1;s2=1;lst={};Do[f=n!;s1*=f;s2*=s1;AppendTo[lst,s2],{n,0,3*3!}];lst 
               [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 13 2009]
%Y A055462 Cf. A000142, A000178, A002109.
%Y A055462 Sequence in context: A000794 A159907 A088912 this_sequence A088600 A066120 
               A152687
%Y A055462 Adjacent sequences: A055459 A055460 A055461 this_sequence A055463 A055464 
               A055465
%K A055462 nonn
%O A055462 0,3
%A A055462 Henry Bottomley (se16(AT)btinternet.com), Jun 26 2000
%E A055462 a(9) from N. J. A. Sloane (njas(AT)research.att.com), Dec 15 2008