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A025540
Least common multiple of {C(0,0), C(2,1), ..., C(2n,n)}.
1
1, 2, 6, 60, 420, 1260, 13860, 360360, 360360, 6126120, 116396280, 116396280, 2677114440, 13385572200, 40156716600, 2329089562800, 72201776446800, 72201776446800, 72201776446800, 2671465728531600, 2671465728531600
OFFSET
0,2
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
Cf. A000984.
Sequence in context: A355286 A308532 A102290 * A334224 A226959 A083135
KEYWORD
nonn
STATUS
approved