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%I #21 Mar 15 2019 06:53:46
%S 2,4,12,84,2100,254100,183206100,923541950100,37238134969982100,
%T 13513011656042074430100,49036030210457135734021310100,
%U 1957361459740805606124917565020990100,937579272951542930363610919638075856505150100
%N Product_{i=0..n} (i! + 1).
%H Alois P. Heinz, <a href="/A217757/b217757.txt">Table of n, a(n) for n = 0..42</a>
%F a(n) ~ c * A000178(n), where c = A238695 = Product_{k>=0} (1 + 1/k!) = 7.364308272367257256372772509631... . - _Vaclav Kotesovec_, Jul 20 2015
%p a:= proc(n) a(n):= `if`(n=0, 2, a(n-1)*(n!+1)) end:
%p seq(a(n), n=0..14); # _Alois P. Heinz_, May 20 2013
%t Table[Product[i!+1,{i,0,n}],{n,0,12}] (* _Geoffrey Critzer_, May 04 2013 *)
%t Rest[FoldList[Times,1,Range[0,15]!+1]] (* _Harvey P. Dale_, May 28 2013 *)
%o (JavaScript)
%o function factorial(n) {
%o var i,c=1;
%o for (i=2;i<=n;i++) c*=i;
%o return c;
%o }
%o a=2;
%o for (j=1;j<10;j++) {
%o a*=(factorial(j)+1);
%o document.write(a+", ");
%o }
%Y Cf. A000142, A000178, A054640, A082480, A258325, A260231, A306729.
%K nonn
%O 0,1
%A _Jon Perry_, Mar 23 2013
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