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A096769 a(n)=Max{ (i+j)!/i!^2 | 0<=i,j<=n }. 1
1, 2, 6, 30, 180, 1260, 10080, 100800, 1108800, 13305600, 172972800, 2421619200, 36324288000, 617512896000, 11115232128000, 211189410432000, 4223788208640000, 88699552381440000, 1951390152391680000 (list; graph; refs; listen; history; text; internal format)
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: A180895 A180896 A180897 * A111059 A009645 A274966

Adjacent sequences:  A096766 A096767 A096768 * A096770 A096771 A096772

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, May 30 2002

STATUS

approved

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Last modified October 16 20:23 EDT 2019. Contains 328103 sequences. (Running on oeis4.)