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

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

Offset

0,3

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

Formula

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

Mathematica

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

Prog

(PARI) a(n) = lcm([1..binomial(2*n, n)/(n+1)]); \\ Michel Marcus, Mar 21 2018
(GAP) List([0..7], n->Lcm([1..Binomial(2*n, n)/(n+1)])); # Muniru A Asiru, Mar 21 2018

Crossrefs

Composition of the sequences A000108 and A003418.

Sequence in context: A231024 A356584 A121493 * A182856 A101896 A130411

Adjacent sequences: A078488 A078489 A078490 * A078492 A078493 A078494

Keyword

nonn

Author

Antti Karttunen, Jan 04 2003

Status

approved