A096769 a(n)=Max{ (i+j)!/i!^2 | 0<=i,j<=n }.

1, 2, 6, 30, 180, 1260, 10080, 100800, 1108800, 13305600, 172972800, 2421619200, 36324288000, 617512896000, 11115232128000, 211189410432000, 4223788208640000, 88699552381440000, 1951390152391680000

Offset

1,2

Comments

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

Links

Harvey P. Dale, Table of n, a(n) for n = 1..444

Formula

Partial products of A000037. - Vladeta Jovovic, Aug 17 2004

Mathematica

FoldList[Times, 1, Select[Range[30], !IntegerQ[Sqrt[#]]&]] (* Harvey P. Dale, Oct 09 2013 *)

Crossrefs

Sequence in context: A180896 A180897 A353184 * A365975 A111059 A009645

Adjacent sequences: A096766 A096767 A096768 * A096770 A096771 A096772

Keyword

easy,nonn

Author

Benoit Cloitre, May 30 2002

Status

approved