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Squarefree part of the n-th central binomial coefficient.
7

%I #14 Mar 22 2020 04:00:46

%S 1,2,3,6,10,5,35,70,14,7,462,231,429,858,715,1430,24310,12155,92378,

%T 46189,88179,176358,1352078,676039,52003,104006,22287,44574,2154410,

%U 1077205,33393355,66786710,129644790,64822395,181502706,90751353

%N Squarefree part of the n-th central binomial coefficient.

%C a(3387) has 1001 decimal digits. - _Michael De Vlieger_, Jul 14 2017

%H Michael De Vlieger, <a href="/A056058/b056058.txt">Table of n, a(n) for n = 1..3386</a>

%F a(n) = A007913(A001405(n)).

%F For squarefree central binomial coefficients (A046098), a(n)=A001405(n).

%t Table[Sqrt[Binomial[n, Floor[n/2]]] /. (c_: 1) a_^(b_: 0) :> (c a^b)^2, {n, 36}] (* _Michael De Vlieger_, Jul 14 2017, after _Bill Gosper_ at A007913 *)

%Y Cf. A048633 for another version.

%K nonn

%O 1,2

%A _Labos Elemer_, Jul 26 2000