A051575 - OEIS

%I #16 Aug 23 2016 12:39:12

%S 1,1,2,10,70,210,4620,60060,60060,1021020,19399380,19399380,446185740,

%T 2230928700,13385572200,388181593800,12033629407800,12033629407800,

%U 12033629407800,445244288088600,445244288088600,18255015811632600

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

%H G. C. Greubel, <a href="/A051575/b051575.txt">Table of n, a(n) for n = 0..400</a>

%t LCM@@@CatalanNumber@Range[0, Range[0, 20]] (* _Vladimir Reshetnikov_, Nov 17 2015 *)

%o (PARI) a(n) = if(n>1, lcm(a(n-1), binomial(2*n, n)/(n+1)), 1) \\ _David A. Corneth_, Aug 23 2016

%Y Cf. A000108, A003046, A078491.

%K nonn

%O 0,3

%A _N. J. A. Sloane_