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A056610
Quotient: squarefree kernel of lcm(1,..,n) (or of n!) divided by kernel of central binomial coefficient.
1
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
1,3
FORMULA
a(n) = A007947(A000142(n))/A007947(A001405(n)) = A034386(n)/A048633(n).
EXAMPLE
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
KEYWORD
nonn
AUTHOR
Labos Elemer, Aug 07 2000
STATUS
approved