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A078491
a(n) = lcm(1..Catalan(n)).
4
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
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 A374168 A101896
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 04 2003
STATUS
approved