A281594 The radical of the Catalan number which is the largest squarefree number dividing binomial(2*n,n)/(n+1).

1, 1, 2, 5, 14, 42, 66, 429, 1430, 4862, 8398, 58786, 104006, 74290, 222870, 3231615, 11785890, 129644790, 47763870, 1767263190, 3282060210, 12233133510, 22870640910, 22870640910, 214984024554, 115760628606, 655976895434, 34766775458002, 65936987937590

Offset

0,3

Links

Table of n, a(n) for n=0..28.

Formula

a(n) = A007947(A000108(n)). - Altug Alkan, Mar 07 2017

Maple

a := n -> convert(numtheory:-factorset(binomial(2*n, n)/(n+1)), `*`):
seq(a(n), n=0..28);

Mathematica

Table[Times @@ FactorInteger[CatalanNumber[n]][[All, 1]], {n, 0, 28}]

Crossrefs

Cf. A007947, A000108.

Sequence in context: A148324 A000660 A148325 * A174176 A298367 A025274

Adjacent sequences: A281591 A281592 A281593 * A281595 A281596 A281597

Keyword

nonn

Author

Peter Luschny, Mar 07 2017

Status

approved