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

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%I A056610 #7 Jul 07 2018 19:18:29
%S A056610 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,
%T A056610 429,1001,1001,1001,1001,2002,1001,1547,1547,221,221,4199,4199,323,
%U A056610 323,2261,2261,24871,24871,572033,572033,572033,572033,408595,408595
%N A056610 Quotient: squarefree kernel of lcm(1,..,n) (or of n!) divided by kernel of central binomial coefficient.
%F A056610 a(n) = A007947(A000142(n))/A007947(A001405(n)) = A034386(n)/A048633(n).
%e A056610 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.
%Y A056610 Cf. A003418, A000142, A034386, A007947, A001405, A048633.
%K A056610 nonn
%O A056610 1,3
%A A056610 _Labos Elemer_, Aug 07 2000