A078491 a(n) = lcm(1..Catalan(n)).

1, 1, 2, 60, 360360, 219060189739591200, 1749342047920660916901891145781670987072592322134428432000

Offset: 0

Author

Antti Karttunen, Jan 04 2003

Keywords

• nonn

Comments

For every cycle count LCM-sequence Axxxxxx in A073204 it holds that Axxxxxx(n) divides a(n). And this also applies to similar LCM-sequences induced by other "Catalan bijections", cf. A060113.

The next term (a(7)) has 184 digits. - Harvey P. Dale, Nov 21 2023

Links

• Muniru A Asiru, Table of n, a(n) for n = 0..7
• Index entries for sequences related to lcm's

Crossrefs

Composition of the sequences A000108 and A003418.

Programs

GAP

List([0..7],n->Lcm([1..Binomial(2*n,n)/(n+1)])); # Muniru A Asiru, Mar 21 2018

Mathematica

Table[LCM@@Range[CatalanNumber[n]],{n,0,7}] (* Harvey P. Dale, Nov 21 2023 *)

PARI

a(n) = lcm([1..binomial(2*n,n)/(n+1)]); \\ Michel Marcus, Mar 21 2018

Formula

a(n) = A003418(A000108(n)).