A051575 a(n) = LCM { Catalan(0), ..., Catalan(n) }.

1, 1, 2, 10, 70, 210, 4620, 60060, 60060, 1021020, 19399380, 19399380, 446185740, 2230928700, 13385572200, 388181593800, 12033629407800, 12033629407800, 12033629407800, 445244288088600, 445244288088600, 18255015811632600

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..400

Crossrefs

Cf. A000108, A003046, A078491.

Programs

Mathematica

LCM@@@CatalanNumber@Range[0, Range[0, 20]] (* Vladimir Reshetnikov, Nov 17 2015 *)

PARI

a(n) = if(n>1, lcm(a(n-1), binomial(2*n, n)/(n+1)), 1) \\ David A. Corneth, Aug 23 2016