OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Mathoverflow, Asymptotic of LCM(binomial(2k,k)), 1<=k<=n
FORMULA
a(n) = 2^floor(log(n+1)/log(2)) * Prod( p^floor(log(2n)/log(p)) ), where the product is taken over all odd primes p below 2n. - Max Alekseyev, Apr 13 2016
If n = 2^k - 1, then a(n) = A099996(n) = A003418(2*n); otherwise a(n) = A099996(n)/2 = A003418(2*n)/2. - Max Alekseyev, Apr 13 2016
MATHEMATICA
Table[LCM@@Table[Binomial[2n, n], {n, 0, i}], {i, 0, 30}] (* Harvey P. Dale, Jun 04 2012 *)
PROG
(PARI) a(n) = lcm(vector(n, k, binomial(2*k, k))); \\ Michel Marcus, Apr 13 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved