A056058 Squarefree part of the n-th central binomial coefficient.

1, 2, 3, 6, 10, 5, 35, 70, 14, 7, 462, 231, 429, 858, 715, 1430, 24310, 12155, 92378, 46189, 88179, 176358, 1352078, 676039, 52003, 104006, 22287, 44574, 2154410, 1077205, 33393355, 66786710, 129644790, 64822395, 181502706, 90751353

Offset: 1

Author

Labos Elemer, Jul 26 2000

Keywords

• nonn

Comments

a(3387) has 1001 decimal digits. - Michael De Vlieger, Jul 14 2017

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..3386

Crossrefs

Cf. A048633 for another version.

Programs

Mathematica

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 *)

Formula

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

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