A096769 - OEIS

%I #9 Oct 09 2013 14:38:47

%S 1,2,6,30,180,1260,10080,100800,1108800,13305600,172972800,2421619200,

%T 36324288000,617512896000,11115232128000,211189410432000,

%U 4223788208640000,88699552381440000,1951390152391680000

%N a(n)=Max{ (i+j)!/i!^2 | 0<=i,j<=n }.

%C Max{ (i+j)!/i!/j! | 0<=i,j<=n }=binomial(2n,n)

%H Harvey P. Dale, <a href="/A096769/b096769.txt">Table of n, a(n) for n = 1..444</a>

%F Partial products of A000037. - _Vladeta Jovovic_, Aug 17 2004

%t FoldList[Times,1,Select[Range[30],!IntegerQ[Sqrt[#]]&]] (* _Harvey P. Dale_, Oct 09 2013 *)

%K easy,nonn

%O 1,2

%A _Benoit Cloitre_, May 30 2002