A056610 Quotient: squarefree kernel of lcm(1,..,n) (or of n!) divided by kernel of central binomial coefficient.

1, 1, 2, 1, 3, 3, 6, 3, 5, 5, 5, 5, 35, 35, 14, 7, 21, 21, 105, 105, 55, 55, 165, 165, 429, 429, 1001, 1001, 1001, 1001, 2002, 1001, 1547, 1547, 221, 221, 4199, 4199, 323, 323, 2261, 2261, 24871, 24871, 572033, 572033, 572033, 572033, 408595, 408595

Offset: 1

Author

Labos Elemer, Aug 07 2000

Keywords

• nonn

Examples

			n = 10, lcm(1, 2, 3, ..., 10) = 2520, lcm(1, 10, 45, 120, 210, 252) = 252; the corresponding kernels are 210 or 42. The quotient is a(10) = 5.
		

Crossrefs

Cf. A003418, A000142, A034386, A007947, A001405, A048633.

Formula

a(n) = A007947(A000142(n))/A007947(A001405(n)) = A034386(n)/A048633(n).